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Finding the Fourth Proportional to 800.20, 1,104.28 and 450.89

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Solution

The fourth proportional to 800.20, 1,104.28 and 450.89 is: 622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.20 : 1,104.28 = 450.89 : x
  2. Step 2: Convert to fraction form
    800.20/1,104.28 = 450.89/x
  3. Step 3: Cross multiply
    800.20x = 1,104.28 × 450.89
  4. Step 4: Simplify right side
    800.20x = 497,906.55
  5. Step 5: Solve for x
    x = 497,906.55/800.20
  6. Step 6: Final answer
    x = 622.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.