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Finding the Fourth Proportional to 843.63, 1,163.81 and 548.79

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Solution

The fourth proportional to 843.63, 1,163.81 and 548.79 is: 757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.63 : 1,163.81 = 548.79 : x
  2. Step 2: Convert to fraction form
    843.63/1,163.81 = 548.79/x
  3. Step 3: Cross multiply
    843.63x = 1,163.81 × 548.79
  4. Step 4: Simplify right side
    843.63x = 638,688.66
  5. Step 5: Solve for x
    x = 638,688.66/843.63
  6. Step 6: Final answer
    x = 757.07

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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.