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Finding the Fourth Proportional to 937.14, 1,293.24 and 517.49

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Solution

The fourth proportional to 937.14, 1,293.24 and 517.49 is: 714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.14 : 1,293.24 = 517.49 : x
  2. Step 2: Convert to fraction form
    937.14/1,293.24 = 517.49/x
  3. Step 3: Cross multiply
    937.14x = 1,293.24 × 517.49
  4. Step 4: Simplify right side
    937.14x = 669,232.30
  5. Step 5: Solve for x
    x = 669,232.30/937.14
  6. Step 6: Final answer
    x = 714.12

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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.