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Finding the Fourth Proportional to 799.27, 1,196.68 and 408.43

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Solution

The fourth proportional to 799.27, 1,196.68 and 408.43 is: 611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.27 : 1,196.68 = 408.43 : x
  2. Step 2: Convert to fraction form
    799.27/1,196.68 = 408.43/x
  3. Step 3: Cross multiply
    799.27x = 1,196.68 × 408.43
  4. Step 4: Simplify right side
    799.27x = 488,760.01
  5. Step 5: Solve for x
    x = 488,760.01/799.27
  6. Step 6: Final answer
    x = 611.51

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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.