For 1533 Patched site just replace below line from  PATCH_SUPEE-8788*****.sh :

    diff --git app/code/core/Mage/Adminhtml/controllers/DashboardController.php app/code/core/Mage/Adminhtml/controllers/DashboardController.php
    index 09ffc4c..367bf8e 100644
    --- app/code/core/Mage/Adminhtml/controllers/DashboardController.php
    +++ app/code/core/Mage/Adminhtml/controllers/DashboardController.php
    @@ -91,7 +91,7 @@ class Mage_Adminhtml_DashboardController extends Mage_Adminhtml_Controller_Actio
             $gaHash = $this->getRequest()->getParam('h');
             if ($gaData && $gaHash) {
                 $newHash = Mage::helper('adminhtml/dashboard_data')->getChartDataHash($gaData);
    -            if ($newHash == $gaHash) {
    +            if (hash_equals($newHash, $gaHash)) {
                     if ($params = unserialize(base64_decode(urldecode($gaData)))) {
                         $response = $httpClient->setUri(Mage_Adminhtml_Block_Dashboard_Graph::API_URL)
                                 ->setParameterGet($params) 

by:

    diff --git a/app/code/core/Mage/Adminhtml/controllers/DashboardController.php b/app/code/core/Mage/Adminhtml/controllers/DashboardController.php
    index ab2d654..367bf8e 100644
    --- a/app/code/core/Mage/Adminhtml/controllers/DashboardController.php
    +++ b/app/code/core/Mage/Adminhtml/controllers/DashboardController.php
    @@ -91,9 +91,8 @@ class Mage_Adminhtml_DashboardController extends Mage_Adminhtml_Controller_Actio
             $gaHash = $this->getRequest()->getParam('h');
             if ($gaData && $gaHash) {
                 $newHash = Mage::helper('adminhtml/dashboard_data')->getChartDataHash($gaData);
    -            if ($newHash == $gaHash) {
    -                $params = json_decode(base64_decode(urldecode($gaData)), true);
    -                if ($params) {
    +            if (hash_equals($newHash, $gaHash)) {
    +                if ($params = unserialize(base64_decode(urldecode($gaData)))) {
                         $response = $httpClient->setUri(Mage_Adminhtml_Block_Dashboard_Graph::API_URL)
                                 ->setParameterGet($params)
                                 ->setConfig(array('timeout' => 5))
    diff --git a/app/code/core/Mage/Adminhtml/Block/Dashboard/Graph.php b/app/code/core/Mage/Adminhtml/Block/Dashboard/Graph.php
    index da1b14a..b6d72c0 100644
    --- a/app/code/core/Mage/Adminhtml/Block/Dashboard/Graph.php
    +++ b/app/code/core/Mage/Adminhtml/Block/Dashboard/Graph.php
    @@ -444,7 +444,7 @@ class Mage_Adminhtml_Block_Dashboard_Graph extends Mage_Adminhtml_Block_Dashboar
                 }
                 return self::API_URL . '?' . implode('&', $p);
             } else {
    -            $gaData = urlencode(base64_encode(json_encode($params)));
    +            $gaData = urlencode(base64_encode(serialize($params)));
                 $gaHash = Mage::helper('adminhtml/dashboard_data')->getChartDataHash($gaData);
                 $params = array('ga' => $gaData, 'h' => $gaHash);
                 return $this->getUrl('*/*/tunnel', array('_query' => $params));

Basically it just reverted the 1533 and left 8788 along.