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Finding the Fourth Proportional to 826.94, 1,238.79 and 682.76

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Solution

The fourth proportional to 826.94, 1,238.79 and 682.76 is: 1,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.94 : 1,238.79 = 682.76 : x
  2. Step 2: Convert to fraction form
    826.94/1,238.79 = 682.76/x
  3. Step 3: Cross multiply
    826.94x = 1,238.79 × 682.76
  4. Step 4: Simplify right side
    826.94x = 845,801.92
  5. Step 5: Solve for x
    x = 845,801.92/826.94
  6. Step 6: Final answer
    x = 1,022.81

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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.