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Finding the Fourth Proportional to 824.04, 1,236.12 and 276.22

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Solution

The fourth proportional to 824.04, 1,236.12 and 276.22 is: 414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.04 : 1,236.12 = 276.22 : x
  2. Step 2: Convert to fraction form
    824.04/1,236.12 = 276.22/x
  3. Step 3: Cross multiply
    824.04x = 1,236.12 × 276.22
  4. Step 4: Simplify right side
    824.04x = 341,441.07
  5. Step 5: Solve for x
    x = 341,441.07/824.04
  6. Step 6: Final answer
    x = 414.35

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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.