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Finding the Fourth Proportional to 843.28, 1,163.78 and 784.96

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Solution

The fourth proportional to 843.28, 1,163.78 and 784.96 is: 1,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.28 : 1,163.78 = 784.96 : x
  2. Step 2: Convert to fraction form
    843.28/1,163.78 = 784.96/x
  3. Step 3: Cross multiply
    843.28x = 1,163.78 × 784.96
  4. Step 4: Simplify right side
    843.28x = 913,520.75
  5. Step 5: Solve for x
    x = 913,520.75/843.28
  6. Step 6: Final answer
    x = 1,083.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.