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Finding the Fourth Proportional to 742.70, 1,114.71 and 396.32

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Solution

The fourth proportional to 742.70, 1,114.71 and 396.32 is: 594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.70 : 1,114.71 = 396.32 : x
  2. Step 2: Convert to fraction form
    742.70/1,114.71 = 396.32/x
  3. Step 3: Cross multiply
    742.70x = 1,114.71 × 396.32
  4. Step 4: Simplify right side
    742.70x = 441,781.87
  5. Step 5: Solve for x
    x = 441,781.87/742.70
  6. Step 6: Final answer
    x = 594.83

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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.