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Finding the Fourth Proportional to 800.24, 1,201.16 and 453.97

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Solution

The fourth proportional to 800.24, 1,201.16 and 453.97 is: 681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.24 : 1,201.16 = 453.97 : x
  2. Step 2: Convert to fraction form
    800.24/1,201.16 = 453.97/x
  3. Step 3: Cross multiply
    800.24x = 1,201.16 × 453.97
  4. Step 4: Simplify right side
    800.24x = 545,290.61
  5. Step 5: Solve for x
    x = 545,290.61/800.24
  6. Step 6: Final answer
    x = 681.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.