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Finding the Fourth Proportional to 1,132.79, 1,565.39 and 964.71

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Solution

The fourth proportional to 1,132.79, 1,565.39 and 964.71 is: 1,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.79 : 1,565.39 = 964.71 : x
  2. Step 2: Convert to fraction form
    1,132.79/1,565.39 = 964.71/x
  3. Step 3: Cross multiply
    1,132.79x = 1,565.39 × 964.71
  4. Step 4: Simplify right side
    1,132.79x = 1,510,149.80
  5. Step 5: Solve for x
    x = 1,510,149.80/1,132.79
  6. Step 6: Final answer
    x = 1,333.13

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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.