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Finding the Fourth Proportional to 680.57, 939.44 and 532.61

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Solution

The fourth proportional to 680.57, 939.44 and 532.61 is: 735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.57 : 939.44 = 532.61 : x
  2. Step 2: Convert to fraction form
    680.57/939.44 = 532.61/x
  3. Step 3: Cross multiply
    680.57x = 939.44 × 532.61
  4. Step 4: Simplify right side
    680.57x = 500,355.14
  5. Step 5: Solve for x
    x = 500,355.14/680.57
  6. Step 6: Final answer
    x = 735.20

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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.