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Finding the Fourth Proportional to 1,425.25, 2,139.09 and 560.17

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Solution

The fourth proportional to 1,425.25, 2,139.09 and 560.17 is: 840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.25 : 2,139.09 = 560.17 : x
  2. Step 2: Convert to fraction form
    1,425.25/2,139.09 = 560.17/x
  3. Step 3: Cross multiply
    1,425.25x = 2,139.09 × 560.17
  4. Step 4: Simplify right side
    1,425.25x = 1,198,254.05
  5. Step 5: Solve for x
    x = 1,198,254.05/1,425.25
  6. Step 6: Final answer
    x = 840.73

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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.