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Finding the Fourth Proportional to 979.46, 1,350.82 and 696.83

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Solution

The fourth proportional to 979.46, 1,350.82 and 696.83 is: 961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.46 : 1,350.82 = 696.83 : x
  2. Step 2: Convert to fraction form
    979.46/1,350.82 = 696.83/x
  3. Step 3: Cross multiply
    979.46x = 1,350.82 × 696.83
  4. Step 4: Simplify right side
    979.46x = 941,286.02
  5. Step 5: Solve for x
    x = 941,286.02/979.46
  6. Step 6: Final answer
    x = 961.03

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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.