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Finding the Fourth Proportional to 702.20, 1,052.34 and 458.36

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Solution

The fourth proportional to 702.20, 1,052.34 and 458.36 is: 686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.20 : 1,052.34 = 458.36 : x
  2. Step 2: Convert to fraction form
    702.20/1,052.34 = 458.36/x
  3. Step 3: Cross multiply
    702.20x = 1,052.34 × 458.36
  4. Step 4: Simplify right side
    702.20x = 482,350.56
  5. Step 5: Solve for x
    x = 482,350.56/702.20
  6. Step 6: Final answer
    x = 686.91

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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.