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Finding the Fourth Proportional to 711.81, 1,067.67 and 191.83

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Solution

The fourth proportional to 711.81, 1,067.67 and 191.83 is: 287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.81 : 1,067.67 = 191.83 : x
  2. Step 2: Convert to fraction form
    711.81/1,067.67 = 191.83/x
  3. Step 3: Cross multiply
    711.81x = 1,067.67 × 191.83
  4. Step 4: Simplify right side
    711.81x = 204,805.80
  5. Step 5: Solve for x
    x = 204,805.80/711.81
  6. Step 6: Final answer
    x = 287.73

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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.