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Finding the Fourth Proportional to 711.67, 1,067.69 and 634.11

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Solution

The fourth proportional to 711.67, 1,067.69 and 634.11 is: 951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.67 : 1,067.69 = 634.11 : x
  2. Step 2: Convert to fraction form
    711.67/1,067.69 = 634.11/x
  3. Step 3: Cross multiply
    711.67x = 1,067.69 × 634.11
  4. Step 4: Simplify right side
    711.67x = 677,029.74
  5. Step 5: Solve for x
    x = 677,029.74/711.67
  6. Step 6: Final answer
    x = 951.33

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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.