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Finding the Fourth Proportional to 742.12, 1,112.31 and 467.80

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Solution

The fourth proportional to 742.12, 1,112.31 and 467.80 is: 701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.12 : 1,112.31 = 467.80 : x
  2. Step 2: Convert to fraction form
    742.12/1,112.31 = 467.80/x
  3. Step 3: Cross multiply
    742.12x = 1,112.31 × 467.80
  4. Step 4: Simplify right side
    742.12x = 520,338.62
  5. Step 5: Solve for x
    x = 520,338.62/742.12
  6. Step 6: Final answer
    x = 701.15

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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.