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Finding the Fourth Proportional to 937.53, 1,293.80 and 517.90

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Solution

The fourth proportional to 937.53, 1,293.80 and 517.90 is: 714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.53 : 1,293.80 = 517.90 : x
  2. Step 2: Convert to fraction form
    937.53/1,293.80 = 517.90/x
  3. Step 3: Cross multiply
    937.53x = 1,293.80 × 517.90
  4. Step 4: Simplify right side
    937.53x = 670,059.02
  5. Step 5: Solve for x
    x = 670,059.02/937.53
  6. Step 6: Final answer
    x = 714.71

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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.