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Finding the Fourth Proportional to 1,196.01, 1,793.81 and 546.59

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Solution

The fourth proportional to 1,196.01, 1,793.81 and 546.59 is: 819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.01 : 1,793.81 = 546.59 : x
  2. Step 2: Convert to fraction form
    1,196.01/1,793.81 = 546.59/x
  3. Step 3: Cross multiply
    1,196.01x = 1,793.81 × 546.59
  4. Step 4: Simplify right side
    1,196.01x = 980,478.61
  5. Step 5: Solve for x
    x = 980,478.61/1,196.01
  6. Step 6: Final answer
    x = 819.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.