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Finding the Fourth Proportional to 742.59, 1,114.91 and 418.19

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Solution

The fourth proportional to 742.59, 1,114.91 and 418.19 is: 627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.59 : 1,114.91 = 418.19 : x
  2. Step 2: Convert to fraction form
    742.59/1,114.91 = 418.19/x
  3. Step 3: Cross multiply
    742.59x = 1,114.91 × 418.19
  4. Step 4: Simplify right side
    742.59x = 466,236.55
  5. Step 5: Solve for x
    x = 466,236.55/742.59
  6. Step 6: Final answer
    x = 627.85

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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.