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Finding the Fourth Proportional to 1,255.56, 1,730.34 and 861.90

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Solution

The fourth proportional to 1,255.56, 1,730.34 and 861.90 is: 1,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.56 : 1,730.34 = 861.90 : x
  2. Step 2: Convert to fraction form
    1,255.56/1,730.34 = 861.90/x
  3. Step 3: Cross multiply
    1,255.56x = 1,730.34 × 861.90
  4. Step 4: Simplify right side
    1,255.56x = 1,491,380.05
  5. Step 5: Solve for x
    x = 1,491,380.05/1,255.56
  6. Step 6: Final answer
    x = 1,187.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.