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Finding the Fourth Proportional to 747, 1,031.13 and 514.80

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Solution

The fourth proportional to 747, 1,031.13 and 514.80 is: 710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    747 : 1,031.13 = 514.80 : x
  2. Step 2: Convert to fraction form
    747/1,031.13 = 514.80/x
  3. Step 3: Cross multiply
    747x = 1,031.13 × 514.80
  4. Step 4: Simplify right side
    747x = 530,825.72
  5. Step 5: Solve for x
    x = 530,825.72/747
  6. Step 6: Final answer
    x = 710.61

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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.