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Finding the Fourth Proportional to 980, 1,468.92 and 546.92

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Solution

The fourth proportional to 980, 1,468.92 and 546.92 is: 819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,468.92 = 546.92 : x
  2. Step 2: Convert to fraction form
    980/1,468.92 = 546.92/x
  3. Step 3: Cross multiply
    980x = 1,468.92 × 546.92
  4. Step 4: Simplify right side
    980x = 803,381.73
  5. Step 5: Solve for x
    x = 803,381.73/980
  6. Step 6: Final answer
    x = 819.78

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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.