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Finding the Fourth Proportional to 1,134.60, 1,565.55 and 686.31

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Solution

The fourth proportional to 1,134.60, 1,565.55 and 686.31 is: 946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.60 : 1,565.55 = 686.31 : x
  2. Step 2: Convert to fraction form
    1,134.60/1,565.55 = 686.31/x
  3. Step 3: Cross multiply
    1,134.60x = 1,565.55 × 686.31
  4. Step 4: Simplify right side
    1,134.60x = 1,074,452.62
  5. Step 5: Solve for x
    x = 1,074,452.62/1,134.60
  6. Step 6: Final answer
    x = 946.99

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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.