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Finding the Fourth Proportional to 799.26, 1,198.74 and 214.26

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Solution

The fourth proportional to 799.26, 1,198.74 and 214.26 is: 321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.26 : 1,198.74 = 214.26 : x
  2. Step 2: Convert to fraction form
    799.26/1,198.74 = 214.26/x
  3. Step 3: Cross multiply
    799.26x = 1,198.74 × 214.26
  4. Step 4: Simplify right side
    799.26x = 256,842.03
  5. Step 5: Solve for x
    x = 256,842.03/799.26
  6. Step 6: Final answer
    x = 321.35

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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.