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Finding the Fourth Proportional to 950.72, 1,311.84 and 819.44

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Solution

The fourth proportional to 950.72, 1,311.84 and 819.44 is: 1,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.72 : 1,311.84 = 819.44 : x
  2. Step 2: Convert to fraction form
    950.72/1,311.84 = 819.44/x
  3. Step 3: Cross multiply
    950.72x = 1,311.84 × 819.44
  4. Step 4: Simplify right side
    950.72x = 1,074,974.17
  5. Step 5: Solve for x
    x = 1,074,974.17/950.72
  6. Step 6: Final answer
    x = 1,130.69

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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.