Problem: Continue the following story.

The vacuum that I bought was a lot better than the simple broom, because the 
Here's how I want to continue it: vacuum was powerful.

Problem: Continue the following story.

Christine was working online on the computer that Mary dropped a bowling ball onto. 
Here's how I want to continue it: Christine  used the computer.

Problem: Continue the following story.

Justin refused to clean the house for Brian because 
Here's how I want to continue it:
Brian refused to pay them for the last time that they cleaned.