Final answer:
The simplified ratio of dog to cat owners is 23:27.
Step-by-step explanation:
The simplified ratio of dog to cat owners can be found by dividing the number of dog owners by the number of cat owners. In this case, there were 460 dog owners out of a total of 1000 households. To find the number of cat owners, we subtract the number of dog owners from the total number of households: 1000 - 460 = 540. Therefore, the simplified ratio of dog to cat owners is 460:540, which can be further simplified to 23:27.