The problem you may be running into is that the entire line must be blank before it gets removed and other objects get moved up. So if you have other objects to the right or left, they could be preventing the line from removing.
But don't fret .. there is an easy solution to your problem. Instead of creating 4 objects on the report and trying to use Print When and Remove When Blank, create one object and stretch it to be 4 lines tall. For the expression, enter this:
CompName;Addr1;Addr2;City,State,Zip
The ";" and the "," are special characters in the report writer. The ";" tells the report writer to combine the stuff before and after the ";" using a CRLF .. however .. if the second part is blank it doesn't bother adding the CRLF. The "," tells the report writer to trim the items before and after and then combine them with a space in between .. but it doesn't bother to add the space if the second part is blank.