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Finding the Fourth Proportional to 800.20, 1,199.88 and 252.24

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Solution

The fourth proportional to 800.20, 1,199.88 and 252.24 is: 378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.20 : 1,199.88 = 252.24 : x
  2. Step 2: Convert to fraction form
    800.20/1,199.88 = 252.24/x
  3. Step 3: Cross multiply
    800.20x = 1,199.88 × 252.24
  4. Step 4: Simplify right side
    800.20x = 302,657.73
  5. Step 5: Solve for x
    x = 302,657.73/800.20
  6. Step 6: Final answer
    x = 378.23

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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.