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Finding the Fourth Proportional to 711.59, 1,067.94 and 382.91

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Solution

The fourth proportional to 711.59, 1,067.94 and 382.91 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.59 : 1,067.94 = 382.91 : x
  2. Step 2: Convert to fraction form
    711.59/1,067.94 = 382.91/x
  3. Step 3: Cross multiply
    711.59x = 1,067.94 × 382.91
  4. Step 4: Simplify right side
    711.59x = 408,919.57
  5. Step 5: Solve for x
    x = 408,919.57/711.59
  6. Step 6: Final answer
    x = 574.66

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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.