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Finding the Fourth Proportional to 742.08, 1,023.90 and 447.24

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Solution

The fourth proportional to 742.08, 1,023.90 and 447.24 is: 617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.08 : 1,023.90 = 447.24 : x
  2. Step 2: Convert to fraction form
    742.08/1,023.90 = 447.24/x
  3. Step 3: Cross multiply
    742.08x = 1,023.90 × 447.24
  4. Step 4: Simplify right side
    742.08x = 457,929.04
  5. Step 5: Solve for x
    x = 457,929.04/742.08
  6. Step 6: Final answer
    x = 617.09

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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.