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Finding the Fourth Proportional to 742.14, 1,024.25 and 447.44

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Solution

The fourth proportional to 742.14, 1,024.25 and 447.44 is: 617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.14 : 1,024.25 = 447.44 : x
  2. Step 2: Convert to fraction form
    742.14/1,024.25 = 447.44/x
  3. Step 3: Cross multiply
    742.14x = 1,024.25 × 447.44
  4. Step 4: Simplify right side
    742.14x = 458,283.06
  5. Step 5: Solve for x
    x = 458,283.06/742.14
  6. Step 6: Final answer
    x = 617.52

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Why These Related Problems?

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