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Finding the Fourth Proportional to 742.43, 1,023.93 and 447.64

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Solution

The fourth proportional to 742.43, 1,023.93 and 447.64 is: 617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.43 : 1,023.93 = 447.64 : x
  2. Step 2: Convert to fraction form
    742.43/1,023.93 = 447.64/x
  3. Step 3: Cross multiply
    742.43x = 1,023.93 × 447.64
  4. Step 4: Simplify right side
    742.43x = 458,349.47
  5. Step 5: Solve for x
    x = 458,349.47/742.43
  6. Step 6: Final answer
    x = 617.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.