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Finding the Fourth Proportional to 742.62, 1,024.16 and 576.30

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Solution

The fourth proportional to 742.62, 1,024.16 and 576.30 is: 794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.62 : 1,024.16 = 576.30 : x
  2. Step 2: Convert to fraction form
    742.62/1,024.16 = 576.30/x
  3. Step 3: Cross multiply
    742.62x = 1,024.16 × 576.30
  4. Step 4: Simplify right side
    742.62x = 590,223.41
  5. Step 5: Solve for x
    x = 590,223.41/742.62
  6. Step 6: Final answer
    x = 794.79

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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.