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Finding the Fourth Proportional to 980.38, 1,470.66 and 493.12

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Solution

The fourth proportional to 980.38, 1,470.66 and 493.12 is: 739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.38 : 1,470.66 = 493.12 : x
  2. Step 2: Convert to fraction form
    980.38/1,470.66 = 493.12/x
  3. Step 3: Cross multiply
    980.38x = 1,470.66 × 493.12
  4. Step 4: Simplify right side
    980.38x = 725,211.86
  5. Step 5: Solve for x
    x = 725,211.86/980.38
  6. Step 6: Final answer
    x = 739.73

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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.