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Finding the Fourth Proportional to 1,255.41, 1,880.15 and 734.31

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Solution

The fourth proportional to 1,255.41, 1,880.15 and 734.31 is: 1,099.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.41 : 1,880.15 = 734.31 : x
  2. Step 2: Convert to fraction form
    1,255.41/1,880.15 = 734.31/x
  3. Step 3: Cross multiply
    1,255.41x = 1,880.15 × 734.31
  4. Step 4: Simplify right side
    1,255.41x = 1,380,609.27
  5. Step 5: Solve for x
    x = 1,380,609.27/1,255.41
  6. Step 6: Final answer
    x = 1,099.73

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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.