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Finding the Fourth Proportional to 742.20, 1,024.20 and 479.76

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Solution

The fourth proportional to 742.20, 1,024.20 and 479.76 is: 662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.20 : 1,024.20 = 479.76 : x
  2. Step 2: Convert to fraction form
    742.20/1,024.20 = 479.76/x
  3. Step 3: Cross multiply
    742.20x = 1,024.20 × 479.76
  4. Step 4: Simplify right side
    742.20x = 491,370.19
  5. Step 5: Solve for x
    x = 491,370.19/742.20
  6. Step 6: Final answer
    x = 662.05

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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.