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Finding the Fourth Proportional to 711.93, 1,067.82 and 191.90

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Solution

The fourth proportional to 711.93, 1,067.82 and 191.90 is: 287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.93 : 1,067.82 = 191.90 : x
  2. Step 2: Convert to fraction form
    711.93/1,067.82 = 191.90/x
  3. Step 3: Cross multiply
    711.93x = 1,067.82 × 191.90
  4. Step 4: Simplify right side
    711.93x = 204,912.66
  5. Step 5: Solve for x
    x = 204,912.66/711.93
  6. Step 6: Final answer
    x = 287.83

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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.