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Finding the Fourth Proportional to 800.96, 1,105.26 and 446.78

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Solution

The fourth proportional to 800.96, 1,105.26 and 446.78 is: 616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.96 : 1,105.26 = 446.78 : x
  2. Step 2: Convert to fraction form
    800.96/1,105.26 = 446.78/x
  3. Step 3: Cross multiply
    800.96x = 1,105.26 × 446.78
  4. Step 4: Simplify right side
    800.96x = 493,808.06
  5. Step 5: Solve for x
    x = 493,808.06/800.96
  6. Step 6: Final answer
    x = 616.52

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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.