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Finding the Fourth Proportional to 741.66, 1,112.28 and 449.34

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Solution

The fourth proportional to 741.66, 1,112.28 and 449.34 is: 673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.66 : 1,112.28 = 449.34 : x
  2. Step 2: Convert to fraction form
    741.66/1,112.28 = 449.34/x
  3. Step 3: Cross multiply
    741.66x = 1,112.28 × 449.34
  4. Step 4: Simplify right side
    741.66x = 499,791.90
  5. Step 5: Solve for x
    x = 499,791.90/741.66
  6. Step 6: Final answer
    x = 673.88

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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.