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Finding the Fourth Proportional to 821.24, 1,231.86 and 301.61

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Solution

The fourth proportional to 821.24, 1,231.86 and 301.61 is: 452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.24 : 1,231.86 = 301.61 : x
  2. Step 2: Convert to fraction form
    821.24/1,231.86 = 301.61/x
  3. Step 3: Cross multiply
    821.24x = 1,231.86 × 301.61
  4. Step 4: Simplify right side
    821.24x = 371,541.29
  5. Step 5: Solve for x
    x = 371,541.29/821.24
  6. Step 6: Final answer
    x = 452.42

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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.