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Finding the Fourth Proportional to 800.44, 1,198.96 and 414.88

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Solution

The fourth proportional to 800.44, 1,198.96 and 414.88 is: 621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.44 : 1,198.96 = 414.88 : x
  2. Step 2: Convert to fraction form
    800.44/1,198.96 = 414.88/x
  3. Step 3: Cross multiply
    800.44x = 1,198.96 × 414.88
  4. Step 4: Simplify right side
    800.44x = 497,424.52
  5. Step 5: Solve for x
    x = 497,424.52/800.44
  6. Step 6: Final answer
    x = 621.44

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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.