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Finding the Fourth Proportional to 1,380.13, 2,070.05 and 502.61

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Solution

The fourth proportional to 1,380.13, 2,070.05 and 502.61 is: 753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.13 : 2,070.05 = 502.61 : x
  2. Step 2: Convert to fraction form
    1,380.13/2,070.05 = 502.61/x
  3. Step 3: Cross multiply
    1,380.13x = 2,070.05 × 502.61
  4. Step 4: Simplify right side
    1,380.13x = 1,040,414.97
  5. Step 5: Solve for x
    x = 1,040,414.97/1,380.13
  6. Step 6: Final answer
    x = 753.85

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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.