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Finding the Fourth Proportional to 823.97, 1,236.04 and 276.21

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Solution

The fourth proportional to 823.97, 1,236.04 and 276.21 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.97 : 1,236.04 = 276.21 : x
  2. Step 2: Convert to fraction form
    823.97/1,236.04 = 276.21/x
  3. Step 3: Cross multiply
    823.97x = 1,236.04 × 276.21
  4. Step 4: Simplify right side
    823.97x = 341,405.92
  5. Step 5: Solve for x
    x = 341,405.92/823.97
  6. Step 6: Final answer
    x = 414.34

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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.