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Finding the Fourth Proportional to 1,195.62, 1,793.85 and 546.42

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Solution

The fourth proportional to 1,195.62, 1,793.85 and 546.42 is: 819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.62 : 1,793.85 = 546.42 : x
  2. Step 2: Convert to fraction form
    1,195.62/1,793.85 = 546.42/x
  3. Step 3: Cross multiply
    1,195.62x = 1,793.85 × 546.42
  4. Step 4: Simplify right side
    1,195.62x = 980,195.52
  5. Step 5: Solve for x
    x = 980,195.52/1,195.62
  6. Step 6: Final answer
    x = 819.82

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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.