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Finding the Fourth Proportional to 950.12, 1,311.68 and 656.96

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Solution

The fourth proportional to 950.12, 1,311.68 and 656.96 is: 906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.12 : 1,311.68 = 656.96 : x
  2. Step 2: Convert to fraction form
    950.12/1,311.68 = 656.96/x
  3. Step 3: Cross multiply
    950.12x = 1,311.68 × 656.96
  4. Step 4: Simplify right side
    950.12x = 861,721.29
  5. Step 5: Solve for x
    x = 861,721.29/950.12
  6. Step 6: Final answer
    x = 906.96

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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.