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Finding the Fourth Proportional to 800.27, 1,198.18 and 409.43

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Solution

The fourth proportional to 800.27, 1,198.18 and 409.43 is: 613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.27 : 1,198.18 = 409.43 : x
  2. Step 2: Convert to fraction form
    800.27/1,198.18 = 409.43/x
  3. Step 3: Cross multiply
    800.27x = 1,198.18 × 409.43
  4. Step 4: Simplify right side
    800.27x = 490,570.84
  5. Step 5: Solve for x
    x = 490,570.84/800.27
  6. Step 6: Final answer
    x = 613.01

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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.