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Finding the Fourth Proportional to 800.13, 1,104.17 and 450.83

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Solution

The fourth proportional to 800.13, 1,104.17 and 450.83 is: 622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.13 : 1,104.17 = 450.83 : x
  2. Step 2: Convert to fraction form
    800.13/1,104.17 = 450.83/x
  3. Step 3: Cross multiply
    800.13x = 1,104.17 × 450.83
  4. Step 4: Simplify right side
    800.13x = 497,788.57
  5. Step 5: Solve for x
    x = 497,788.57/800.13
  6. Step 6: Final answer
    x = 622.14

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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.