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Finding the Fourth Proportional to 1,348.76, 1,861.56 and 789.52

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Solution

The fourth proportional to 1,348.76, 1,861.56 and 789.52 is: 1,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.76 : 1,861.56 = 789.52 : x
  2. Step 2: Convert to fraction form
    1,348.76/1,861.56 = 789.52/x
  3. Step 3: Cross multiply
    1,348.76x = 1,861.56 × 789.52
  4. Step 4: Simplify right side
    1,348.76x = 1,469,734.20
  5. Step 5: Solve for x
    x = 1,469,734.20/1,348.76
  6. Step 6: Final answer
    x = 1,089.70

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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.