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Finding the Fourth Proportional to 843.04, 1,163.46 and 548.56

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Solution

The fourth proportional to 843.04, 1,163.46 and 548.56 is: 757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.04 : 1,163.46 = 548.56 : x
  2. Step 2: Convert to fraction form
    843.04/1,163.46 = 548.56/x
  3. Step 3: Cross multiply
    843.04x = 1,163.46 × 548.56
  4. Step 4: Simplify right side
    843.04x = 638,227.62
  5. Step 5: Solve for x
    x = 638,227.62/843.04
  6. Step 6: Final answer
    x = 757.05

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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.