Finding the Fourth Proportional to 726, 1,002 and 415.44
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Solution
The fourth proportional to 726, 1,002 and 415.44 is: 573.38
Step by Step Solution
- Step 1: Write the proportion equation
726 : 1,002 = 415.44 : x - Step 2: Convert to fraction form
726/1,002 = 415.44/x - Step 3: Cross multiply
726x = 1,002 × 415.44 - Step 4: Simplify right side
726x = 416,270.88 - Step 5: Solve for x
x = 416,270.88/726 - Step 6: Final answer
x = 573.38
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.