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Finding the Fourth Proportional to 824.40, 1,236.78 and 247.26

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Solution

The fourth proportional to 824.40, 1,236.78 and 247.26 is: 370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.40 : 1,236.78 = 247.26 : x
  2. Step 2: Convert to fraction form
    824.40/1,236.78 = 247.26/x
  3. Step 3: Cross multiply
    824.40x = 1,236.78 × 247.26
  4. Step 4: Simplify right side
    824.40x = 305,806.22
  5. Step 5: Solve for x
    x = 305,806.22/824.40
  6. Step 6: Final answer
    x = 370.94

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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.