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Finding the Fourth Proportional to 800.44, 1,105.78 and 634.12

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Solution

The fourth proportional to 800.44, 1,105.78 and 634.12 is: 876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.44 : 1,105.78 = 634.12 : x
  2. Step 2: Convert to fraction form
    800.44/1,105.78 = 634.12/x
  3. Step 3: Cross multiply
    800.44x = 1,105.78 × 634.12
  4. Step 4: Simplify right side
    800.44x = 701,197.21
  5. Step 5: Solve for x
    x = 701,197.21/800.44
  6. Step 6: Final answer
    x = 876.01

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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.