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Finding the Fourth Proportional to 1,387.73, 2,080.56 and 839.79

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Solution

The fourth proportional to 1,387.73, 2,080.56 and 839.79 is: 1,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.73 : 2,080.56 = 839.79 : x
  2. Step 2: Convert to fraction form
    1,387.73/2,080.56 = 839.79/x
  3. Step 3: Cross multiply
    1,387.73x = 2,080.56 × 839.79
  4. Step 4: Simplify right side
    1,387.73x = 1,747,233.48
  5. Step 5: Solve for x
    x = 1,747,233.48/1,387.73
  6. Step 6: Final answer
    x = 1,259.06

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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.