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Finding the Fourth Proportional to 823.89, 1,236.09 and 276.47

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Solution

The fourth proportional to 823.89, 1,236.09 and 276.47 is: 414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.89 : 1,236.09 = 276.47 : x
  2. Step 2: Convert to fraction form
    823.89/1,236.09 = 276.47/x
  3. Step 3: Cross multiply
    823.89x = 1,236.09 × 276.47
  4. Step 4: Simplify right side
    823.89x = 341,735.62
  5. Step 5: Solve for x
    x = 341,735.62/823.89
  6. Step 6: Final answer
    x = 414.78

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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.