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Finding the Fourth Proportional to 824.26, 1,236.48 and 276.48

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Solution

The fourth proportional to 824.26, 1,236.48 and 276.48 is: 414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.26 : 1,236.48 = 276.48 : x
  2. Step 2: Convert to fraction form
    824.26/1,236.48 = 276.48/x
  3. Step 3: Cross multiply
    824.26x = 1,236.48 × 276.48
  4. Step 4: Simplify right side
    824.26x = 341,854.43
  5. Step 5: Solve for x
    x = 341,854.43/824.26
  6. Step 6: Final answer
    x = 414.74

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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.