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Finding the Fourth Proportional to 742.91, 1,114.05 and 280.60

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Solution

The fourth proportional to 742.91, 1,114.05 and 280.60 is: 420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.91 : 1,114.05 = 280.60 : x
  2. Step 2: Convert to fraction form
    742.91/1,114.05 = 280.60/x
  3. Step 3: Cross multiply
    742.91x = 1,114.05 × 280.60
  4. Step 4: Simplify right side
    742.91x = 312,600.70
  5. Step 5: Solve for x
    x = 312,600.70/742.91
  6. Step 6: Final answer
    x = 420.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.