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Finding the Fourth Proportional to 799.47, 1,199.17 and 252.05

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Solution

The fourth proportional to 799.47, 1,199.17 and 252.05 is: 378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.47 : 1,199.17 = 252.05 : x
  2. Step 2: Convert to fraction form
    799.47/1,199.17 = 252.05/x
  3. Step 3: Cross multiply
    799.47x = 1,199.17 × 252.05
  4. Step 4: Simplify right side
    799.47x = 302,245.12
  5. Step 5: Solve for x
    x = 302,245.12/799.47
  6. Step 6: Final answer
    x = 378.06

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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.