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Finding the Fourth Proportional to 874.40, 1,310.37 and 743.88

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Solution

The fourth proportional to 874.40, 1,310.37 and 743.88 is: 1,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.40 : 1,310.37 = 743.88 : x
  2. Step 2: Convert to fraction form
    874.40/1,310.37 = 743.88/x
  3. Step 3: Cross multiply
    874.40x = 1,310.37 × 743.88
  4. Step 4: Simplify right side
    874.40x = 974,765.39
  5. Step 5: Solve for x
    x = 974,765.39/874.40
  6. Step 6: Final answer
    x = 1,114.78

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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.