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Finding the Fourth Proportional to 800.55, 1,200.49 and 252.43

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Solution

The fourth proportional to 800.55, 1,200.49 and 252.43 is: 378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.55 : 1,200.49 = 252.43 : x
  2. Step 2: Convert to fraction form
    800.55/1,200.49 = 252.43/x
  3. Step 3: Cross multiply
    800.55x = 1,200.49 × 252.43
  4. Step 4: Simplify right side
    800.55x = 303,042.81
  5. Step 5: Solve for x
    x = 303,042.81/800.55
  6. Step 6: Final answer
    x = 378.54

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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.