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Finding the Fourth Proportional to 742.24, 1,023.61 and 447

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Solution

The fourth proportional to 742.24, 1,023.61 and 447 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.24 : 1,023.61 = 447 : x
  2. Step 2: Convert to fraction form
    742.24/1,023.61 = 447/x
  3. Step 3: Cross multiply
    742.24x = 1,023.61 × 447
  4. Step 4: Simplify right side
    742.24x = 457,553.67
  5. Step 5: Solve for x
    x = 457,553.67/742.24
  6. Step 6: Final answer
    x = 616.45

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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.