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Finding the Fourth Proportional to 1,387.82, 2,079.92 and 565.13

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Solution

The fourth proportional to 1,387.82, 2,079.92 and 565.13 is: 846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.82 : 2,079.92 = 565.13 : x
  2. Step 2: Convert to fraction form
    1,387.82/2,079.92 = 565.13/x
  3. Step 3: Cross multiply
    1,387.82x = 2,079.92 × 565.13
  4. Step 4: Simplify right side
    1,387.82x = 1,175,425.19
  5. Step 5: Solve for x
    x = 1,175,425.19/1,387.82
  6. Step 6: Final answer
    x = 846.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.