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Finding the Fourth Proportional to 982.73, 1,474 and 462.61

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Solution

The fourth proportional to 982.73, 1,474 and 462.61 is: 693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.73 : 1,474 = 462.61 : x
  2. Step 2: Convert to fraction form
    982.73/1,474 = 462.61/x
  3. Step 3: Cross multiply
    982.73x = 1,474 × 462.61
  4. Step 4: Simplify right side
    982.73x = 681,887.14
  5. Step 5: Solve for x
    x = 681,887.14/982.73
  6. Step 6: Final answer
    x = 693.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.