PivotChart broken lines

I have a PivotChart where the data comes from a large tables of rows, organized as a sort of database.

I'm trying to organize the PivotChart according to the following rules:

1) There should be one line on the chart, and one legend entry, for each unique value of field "Rank".
2) The X-axis should correspond to a field named "Rating".
3) The Y-axis should correspond to a field named "Score".

I have this working almost perfectly, except for a slight problem - For every possible unique value of the X-Axis, there is often one or more of the "ranks" (lines) that does not have a datapoint for that rating value. This results in the line breaking. It will connect two adjacent markers on the chart as long as, for a single line, that line has datapoints at both values. But whenever there is a gap, it just stops the line.

Is there a way to get it to always connect adjacent markers? I've attached a picture demonstrating the problem.

I want all the green triangles to always be connected, all the blue diamonds to always be connected, and all the red squares to always be connected.

Is this possible?