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Finding the Fourth Proportional to 906.61, 1,251.66 and 696.38

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Solution

The fourth proportional to 906.61, 1,251.66 and 696.38 is: 961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.61 : 1,251.66 = 696.38 : x
  2. Step 2: Convert to fraction form
    906.61/1,251.66 = 696.38/x
  3. Step 3: Cross multiply
    906.61x = 1,251.66 × 696.38
  4. Step 4: Simplify right side
    906.61x = 871,630.47
  5. Step 5: Solve for x
    x = 871,630.47/906.61
  6. Step 6: Final answer
    x = 961.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.