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Finding the Fourth Proportional to 937.42, 1,293.66 and 517.76

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Solution

The fourth proportional to 937.42, 1,293.66 and 517.76 is: 714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.42 : 1,293.66 = 517.76 : x
  2. Step 2: Convert to fraction form
    937.42/1,293.66 = 517.76/x
  3. Step 3: Cross multiply
    937.42x = 1,293.66 × 517.76
  4. Step 4: Simplify right side
    937.42x = 669,805.40
  5. Step 5: Solve for x
    x = 669,805.40/937.42
  6. Step 6: Final answer
    x = 714.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.