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Finding the Fourth Proportional to 821.97, 1,233.07 and 301.85

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Solution

The fourth proportional to 821.97, 1,233.07 and 301.85 is: 452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.97 : 1,233.07 = 301.85 : x
  2. Step 2: Convert to fraction form
    821.97/1,233.07 = 301.85/x
  3. Step 3: Cross multiply
    821.97x = 1,233.07 × 301.85
  4. Step 4: Simplify right side
    821.97x = 372,199.88
  5. Step 5: Solve for x
    x = 372,199.88/821.97
  6. Step 6: Final answer
    x = 452.81

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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.