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Finding the Fourth Proportional to 824.20, 1,236.54 and 247.24

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Solution

The fourth proportional to 824.20, 1,236.54 and 247.24 is: 370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.20 : 1,236.54 = 247.24 : x
  2. Step 2: Convert to fraction form
    824.20/1,236.54 = 247.24/x
  3. Step 3: Cross multiply
    824.20x = 1,236.54 × 247.24
  4. Step 4: Simplify right side
    824.20x = 305,722.15
  5. Step 5: Solve for x
    x = 305,722.15/824.20
  6. Step 6: Final answer
    x = 370.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.