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Finding the Fourth Proportional to 937.03, 1,293.18 and 517.42

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Solution

The fourth proportional to 937.03, 1,293.18 and 517.42 is: 714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.03 : 1,293.18 = 517.42 : x
  2. Step 2: Convert to fraction form
    937.03/1,293.18 = 517.42/x
  3. Step 3: Cross multiply
    937.03x = 1,293.18 × 517.42
  4. Step 4: Simplify right side
    937.03x = 669,117.20
  5. Step 5: Solve for x
    x = 669,117.20/937.03
  6. Step 6: Final answer
    x = 714.08

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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.