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Finding the Fourth Proportional to 747.36, 1,031.76 and 514.80

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Solution

The fourth proportional to 747.36, 1,031.76 and 514.80 is: 710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.36 : 1,031.76 = 514.80 : x
  2. Step 2: Convert to fraction form
    747.36/1,031.76 = 514.80/x
  3. Step 3: Cross multiply
    747.36x = 1,031.76 × 514.80
  4. Step 4: Simplify right side
    747.36x = 531,150.05
  5. Step 5: Solve for x
    x = 531,150.05/747.36
  6. Step 6: Final answer
    x = 710.70

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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.