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Finding the Fourth Proportional to 1,380.83, 2,072.29 and 731.71

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Solution

The fourth proportional to 1,380.83, 2,072.29 and 731.71 is: 1,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.83 : 2,072.29 = 731.71 : x
  2. Step 2: Convert to fraction form
    1,380.83/2,072.29 = 731.71/x
  3. Step 3: Cross multiply
    1,380.83x = 2,072.29 × 731.71
  4. Step 4: Simplify right side
    1,380.83x = 1,516,315.32
  5. Step 5: Solve for x
    x = 1,516,315.32/1,380.83
  6. Step 6: Final answer
    x = 1,098.12

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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.