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Finding the Fourth Proportional to 727.66, 1,091.49 and 179.85

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Solution

The fourth proportional to 727.66, 1,091.49 and 179.85 is: 269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.66 : 1,091.49 = 179.85 : x
  2. Step 2: Convert to fraction form
    727.66/1,091.49 = 179.85/x
  3. Step 3: Cross multiply
    727.66x = 1,091.49 × 179.85
  4. Step 4: Simplify right side
    727.66x = 196,308.91
  5. Step 5: Solve for x
    x = 196,308.91/727.66
  6. Step 6: Final answer
    x = 269.78

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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.