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Finding the Fourth Proportional to 980.20, 1,468.96 and 493.59

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Solution

The fourth proportional to 980.20, 1,468.96 and 493.59 is: 739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.20 : 1,468.96 = 493.59 : x
  2. Step 2: Convert to fraction form
    980.20/1,468.96 = 493.59/x
  3. Step 3: Cross multiply
    980.20x = 1,468.96 × 493.59
  4. Step 4: Simplify right side
    980.20x = 725,063.97
  5. Step 5: Solve for x
    x = 725,063.97/980.20
  6. Step 6: Final answer
    x = 739.71

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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.