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Finding the Fourth Proportional to 822.33, 1,234.58 and 754.41

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Solution

The fourth proportional to 822.33, 1,234.58 and 754.41 is: 1,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.33 : 1,234.58 = 754.41 : x
  2. Step 2: Convert to fraction form
    822.33/1,234.58 = 754.41/x
  3. Step 3: Cross multiply
    822.33x = 1,234.58 × 754.41
  4. Step 4: Simplify right side
    822.33x = 931,375.73
  5. Step 5: Solve for x
    x = 931,375.73/822.33
  6. Step 6: Final answer
    x = 1,132.61

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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.