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Finding the Fourth Proportional to 937, 1,293.10 and 517.38

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Solution

The fourth proportional to 937, 1,293.10 and 517.38 is: 714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    937 : 1,293.10 = 517.38 : x
  2. Step 2: Convert to fraction form
    937/1,293.10 = 517.38/x
  3. Step 3: Cross multiply
    937x = 1,293.10 × 517.38
  4. Step 4: Simplify right side
    937x = 669,024.08
  5. Step 5: Solve for x
    x = 669,024.08/937
  6. Step 6: Final answer
    x = 714.01

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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.