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Finding the Fourth Proportional to 824.30, 1,236.72 and 769.22

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Solution

The fourth proportional to 824.30, 1,236.72 and 769.22 is: 1,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.30 : 1,236.72 = 769.22 : x
  2. Step 2: Convert to fraction form
    824.30/1,236.72 = 769.22/x
  3. Step 3: Cross multiply
    824.30x = 1,236.72 × 769.22
  4. Step 4: Simplify right side
    824.30x = 951,309.76
  5. Step 5: Solve for x
    x = 951,309.76/824.30
  6. Step 6: Final answer
    x = 1,154.08

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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.