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Finding the Fourth Proportional to 950.73, 1,422.85 and 796.83

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Solution

The fourth proportional to 950.73, 1,422.85 and 796.83 is: 1,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.73 : 1,422.85 = 796.83 : x
  2. Step 2: Convert to fraction form
    950.73/1,422.85 = 796.83/x
  3. Step 3: Cross multiply
    950.73x = 1,422.85 × 796.83
  4. Step 4: Simplify right side
    950.73x = 1,133,769.57
  5. Step 5: Solve for x
    x = 1,133,769.57/950.73
  6. Step 6: Final answer
    x = 1,192.53

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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.