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Finding the Fourth Proportional to 799.86, 1,199.91 and 252.04

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Solution

The fourth proportional to 799.86, 1,199.91 and 252.04 is: 378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.86 : 1,199.91 = 252.04 : x
  2. Step 2: Convert to fraction form
    799.86/1,199.91 = 252.04/x
  3. Step 3: Cross multiply
    799.86x = 1,199.91 × 252.04
  4. Step 4: Simplify right side
    799.86x = 302,422.14
  5. Step 5: Solve for x
    x = 302,422.14/799.86
  6. Step 6: Final answer
    x = 378.09

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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.