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Finding the Fourth Proportional to 702.38, 1,053.02 and 459.92

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Solution

The fourth proportional to 702.38, 1,053.02 and 459.92 is: 689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.38 : 1,053.02 = 459.92 : x
  2. Step 2: Convert to fraction form
    702.38/1,053.02 = 459.92/x
  3. Step 3: Cross multiply
    702.38x = 1,053.02 × 459.92
  4. Step 4: Simplify right side
    702.38x = 484,304.96
  5. Step 5: Solve for x
    x = 484,304.96/702.38
  6. Step 6: Final answer
    x = 689.52

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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.