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Finding the Fourth Proportional to 702.24, 1,052.85 and 458.90

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Solution

The fourth proportional to 702.24, 1,052.85 and 458.90 is: 688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.24 : 1,052.85 = 458.90 : x
  2. Step 2: Convert to fraction form
    702.24/1,052.85 = 458.90/x
  3. Step 3: Cross multiply
    702.24x = 1,052.85 × 458.90
  4. Step 4: Simplify right side
    702.24x = 483,152.87
  5. Step 5: Solve for x
    x = 483,152.87/702.24
  6. Step 6: Final answer
    x = 688.02

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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.