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Finding the Fourth Proportional to 742.28, 1,024.20 and 506.40

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Solution

The fourth proportional to 742.28, 1,024.20 and 506.40 is: 698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.28 : 1,024.20 = 506.40 : x
  2. Step 2: Convert to fraction form
    742.28/1,024.20 = 506.40/x
  3. Step 3: Cross multiply
    742.28x = 1,024.20 × 506.40
  4. Step 4: Simplify right side
    742.28x = 518,654.88
  5. Step 5: Solve for x
    x = 518,654.88/742.28
  6. Step 6: Final answer
    x = 698.73

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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.