diff --git a/tests/gis_tests/relatedapp/tests.py b/tests/gis_tests/relatedapp/tests.py
index 303d357705..3b0339ffa9 100644
--- a/tests/gis_tests/relatedapp/tests.py
+++ b/tests/gis_tests/relatedapp/tests.py
@@ -99,10 +99,15 @@ class RelatedGeoModelTest(TestCase):
         self.assertEqual(type(u3), MultiPoint)
 
         # Ordering of points in the result of the union is not defined and
-        # implementation-dependent (DB backend, GEOS version)
-        self.assertEqual({p.ewkt for p in ref_u1}, {p.ewkt for p in u1})
-        self.assertEqual({p.ewkt for p in ref_u2}, {p.ewkt for p in u2})
-        self.assertEqual({p.ewkt for p in ref_u1}, {p.ewkt for p in u3})
+        # implementation-dependent (DB backend, GEOS version).
+        tests = [
+            (u1, ref_u1),
+            (u2, ref_u2),
+            (u3, ref_u1),
+        ]
+        for union, ref in tests:
+            for point, ref_point in zip(sorted(union), sorted(ref), strict=True):
+                self.assertIs(point.equals_exact(ref_point, tolerance=6), True)
 
     def test05_select_related_fk_to_subclass(self):
         """