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Finding the Fourth Proportional to 742.62, 1,024.02 and 521.50

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Solution

The fourth proportional to 742.62, 1,024.02 and 521.50 is: 719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.62 : 1,024.02 = 521.50 : x
  2. Step 2: Convert to fraction form
    742.62/1,024.02 = 521.50/x
  3. Step 3: Cross multiply
    742.62x = 1,024.02 × 521.50
  4. Step 4: Simplify right side
    742.62x = 534,026.43
  5. Step 5: Solve for x
    x = 534,026.43/742.62
  6. Step 6: Final answer
    x = 719.11

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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.