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Finding the Fourth Proportional to 1,371.25, 2,056.70 and 677.96

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Solution

The fourth proportional to 1,371.25, 2,056.70 and 677.96 is: 1,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.25 : 2,056.70 = 677.96 : x
  2. Step 2: Convert to fraction form
    1,371.25/2,056.70 = 677.96/x
  3. Step 3: Cross multiply
    1,371.25x = 2,056.70 × 677.96
  4. Step 4: Simplify right side
    1,371.25x = 1,394,360.33
  5. Step 5: Solve for x
    x = 1,394,360.33/1,371.25
  6. Step 6: Final answer
    x = 1,016.85

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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.