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Finding the Fourth Proportional to 982.43, 1,474.13 and 462.41

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Solution

The fourth proportional to 982.43, 1,474.13 and 462.41 is: 693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.43 : 1,474.13 = 462.41 : x
  2. Step 2: Convert to fraction form
    982.43/1,474.13 = 462.41/x
  3. Step 3: Cross multiply
    982.43x = 1,474.13 × 462.41
  4. Step 4: Simplify right side
    982.43x = 681,642.77
  5. Step 5: Solve for x
    x = 681,642.77/982.43
  6. Step 6: Final answer
    x = 693.84

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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.