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Finding the Fourth Proportional to 1,002.71, 1,384.13 and 661.97

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Solution

The fourth proportional to 1,002.71, 1,384.13 and 661.97 is: 913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.71 : 1,384.13 = 661.97 : x
  2. Step 2: Convert to fraction form
    1,002.71/1,384.13 = 661.97/x
  3. Step 3: Cross multiply
    1,002.71x = 1,384.13 × 661.97
  4. Step 4: Simplify right side
    1,002.71x = 916,257.65
  5. Step 5: Solve for x
    x = 916,257.65/1,002.71
  6. Step 6: Final answer
    x = 913.78

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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.