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Finding the Fourth Proportional to 932.69, 1,287.11 and 518.69

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Solution

The fourth proportional to 932.69, 1,287.11 and 518.69 is: 715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.69 : 1,287.11 = 518.69 : x
  2. Step 2: Convert to fraction form
    932.69/1,287.11 = 518.69/x
  3. Step 3: Cross multiply
    932.69x = 1,287.11 × 518.69
  4. Step 4: Simplify right side
    932.69x = 667,607.87
  5. Step 5: Solve for x
    x = 667,607.87/932.69
  6. Step 6: Final answer
    x = 715.79

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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.