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Finding the Fourth Proportional to 826.06, 1,238.41 and 305.73

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Solution

The fourth proportional to 826.06, 1,238.41 and 305.73 is: 458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.06 : 1,238.41 = 305.73 : x
  2. Step 2: Convert to fraction form
    826.06/1,238.41 = 305.73/x
  3. Step 3: Cross multiply
    826.06x = 1,238.41 × 305.73
  4. Step 4: Simplify right side
    826.06x = 378,611.37
  5. Step 5: Solve for x
    x = 378,611.37/826.06
  6. Step 6: Final answer
    x = 458.34

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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.