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Finding the Fourth Proportional to 824.19, 1,236.49 and 247.06

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Solution

The fourth proportional to 824.19, 1,236.49 and 247.06 is: 370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.19 : 1,236.49 = 247.06 : x
  2. Step 2: Convert to fraction form
    824.19/1,236.49 = 247.06/x
  3. Step 3: Cross multiply
    824.19x = 1,236.49 × 247.06
  4. Step 4: Simplify right side
    824.19x = 305,485.98
  5. Step 5: Solve for x
    x = 305,485.98/824.19
  6. Step 6: Final answer
    x = 370.65

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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.