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Finding the Fourth Proportional to 1,308.85, 1,961.84 and 614.97

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Solution

The fourth proportional to 1,308.85, 1,961.84 and 614.97 is: 921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.85 : 1,961.84 = 614.97 : x
  2. Step 2: Convert to fraction form
    1,308.85/1,961.84 = 614.97/x
  3. Step 3: Cross multiply
    1,308.85x = 1,961.84 × 614.97
  4. Step 4: Simplify right side
    1,308.85x = 1,206,474.28
  5. Step 5: Solve for x
    x = 1,206,474.28/1,308.85
  6. Step 6: Final answer
    x = 921.78

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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.