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Finding the Fourth Proportional to 800.38, 1,104.56 and 451.06

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Solution

The fourth proportional to 800.38, 1,104.56 and 451.06 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.38 : 1,104.56 = 451.06 : x
  2. Step 2: Convert to fraction form
    800.38/1,104.56 = 451.06/x
  3. Step 3: Cross multiply
    800.38x = 1,104.56 × 451.06
  4. Step 4: Simplify right side
    800.38x = 498,222.83
  5. Step 5: Solve for x
    x = 498,222.83/800.38
  6. Step 6: Final answer
    x = 622.48

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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.