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Finding the Fourth Proportional to 711.01, 1,067.67 and 438.83

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Solution

The fourth proportional to 711.01, 1,067.67 and 438.83 is: 658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.01 : 1,067.67 = 438.83 : x
  2. Step 2: Convert to fraction form
    711.01/1,067.67 = 438.83/x
  3. Step 3: Cross multiply
    711.01x = 1,067.67 × 438.83
  4. Step 4: Simplify right side
    711.01x = 468,519.43
  5. Step 5: Solve for x
    x = 468,519.43/711.01
  6. Step 6: Final answer
    x = 658.95

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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.