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Finding the Fourth Proportional to 1,287.28, 1,773.87 and 932.59

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Solution

The fourth proportional to 1,287.28, 1,773.87 and 932.59 is: 1,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.28 : 1,773.87 = 932.59 : x
  2. Step 2: Convert to fraction form
    1,287.28/1,773.87 = 932.59/x
  3. Step 3: Cross multiply
    1,287.28x = 1,773.87 × 932.59
  4. Step 4: Simplify right side
    1,287.28x = 1,654,293.42
  5. Step 5: Solve for x
    x = 1,654,293.42/1,287.28
  6. Step 6: Final answer
    x = 1,285.11

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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.