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Finding the Fourth Proportional to 950.35, 1,422.45 and 819.13

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Solution

The fourth proportional to 950.35, 1,422.45 and 819.13 is: 1,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.35 : 1,422.45 = 819.13 : x
  2. Step 2: Convert to fraction form
    950.35/1,422.45 = 819.13/x
  3. Step 3: Cross multiply
    950.35x = 1,422.45 × 819.13
  4. Step 4: Simplify right side
    950.35x = 1,165,171.47
  5. Step 5: Solve for x
    x = 1,165,171.47/950.35
  6. Step 6: Final answer
    x = 1,226.04

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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.