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Finding the Fourth Proportional to 824.07, 1,236.11 and 336.78

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Solution

The fourth proportional to 824.07, 1,236.11 and 336.78 is: 505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.07 : 1,236.11 = 336.78 : x
  2. Step 2: Convert to fraction form
    824.07/1,236.11 = 336.78/x
  3. Step 3: Cross multiply
    824.07x = 1,236.11 × 336.78
  4. Step 4: Simplify right side
    824.07x = 416,297.13
  5. Step 5: Solve for x
    x = 416,297.13/824.07
  6. Step 6: Final answer
    x = 505.17

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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.