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Finding the Fourth Proportional to 1,236.96, 1,851.78 and 824.67

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Solution

The fourth proportional to 1,236.96, 1,851.78 and 824.67 is: 1,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.96 : 1,851.78 = 824.67 : x
  2. Step 2: Convert to fraction form
    1,236.96/1,851.78 = 824.67/x
  3. Step 3: Cross multiply
    1,236.96x = 1,851.78 × 824.67
  4. Step 4: Simplify right side
    1,236.96x = 1,527,107.41
  5. Step 5: Solve for x
    x = 1,527,107.41/1,236.96
  6. Step 6: Final answer
    x = 1,234.56

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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.