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Finding the Fourth Proportional to 823.12, 1,234.14 and 267.76

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Solution

The fourth proportional to 823.12, 1,234.14 and 267.76 is: 401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.12 : 1,234.14 = 267.76 : x
  2. Step 2: Convert to fraction form
    823.12/1,234.14 = 267.76/x
  3. Step 3: Cross multiply
    823.12x = 1,234.14 × 267.76
  4. Step 4: Simplify right side
    823.12x = 330,453.33
  5. Step 5: Solve for x
    x = 330,453.33/823.12
  6. Step 6: Final answer
    x = 401.46

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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.