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Finding the Fourth Proportional to 702.47, 1,053.36 and 410.07

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Solution

The fourth proportional to 702.47, 1,053.36 and 410.07 is: 614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.47 : 1,053.36 = 410.07 : x
  2. Step 2: Convert to fraction form
    702.47/1,053.36 = 410.07/x
  3. Step 3: Cross multiply
    702.47x = 1,053.36 × 410.07
  4. Step 4: Simplify right side
    702.47x = 431,951.34
  5. Step 5: Solve for x
    x = 431,951.34/702.47
  6. Step 6: Final answer
    x = 614.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.