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Finding the Fourth Proportional to 799.81, 1,198.09 and 414.25

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Solution

The fourth proportional to 799.81, 1,198.09 and 414.25 is: 620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.81 : 1,198.09 = 414.25 : x
  2. Step 2: Convert to fraction form
    799.81/1,198.09 = 414.25/x
  3. Step 3: Cross multiply
    799.81x = 1,198.09 × 414.25
  4. Step 4: Simplify right side
    799.81x = 496,308.78
  5. Step 5: Solve for x
    x = 496,308.78/799.81
  6. Step 6: Final answer
    x = 620.53

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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.