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Finding the Fourth Proportional to 826.02, 1,238.94 and 209.73

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Solution

The fourth proportional to 826.02, 1,238.94 and 209.73 is: 314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.02 : 1,238.94 = 209.73 : x
  2. Step 2: Convert to fraction form
    826.02/1,238.94 = 209.73/x
  3. Step 3: Cross multiply
    826.02x = 1,238.94 × 209.73
  4. Step 4: Simplify right side
    826.02x = 259,842.89
  5. Step 5: Solve for x
    x = 259,842.89/826.02
  6. Step 6: Final answer
    x = 314.57

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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.