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Finding the Fourth Proportional to 843.06, 1,163.72 and 548.22

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Solution

The fourth proportional to 843.06, 1,163.72 and 548.22 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.06 : 1,163.72 = 548.22 : x
  2. Step 2: Convert to fraction form
    843.06/1,163.72 = 548.22/x
  3. Step 3: Cross multiply
    843.06x = 1,163.72 × 548.22
  4. Step 4: Simplify right side
    843.06x = 637,974.58
  5. Step 5: Solve for x
    x = 637,974.58/843.06
  6. Step 6: Final answer
    x = 756.74

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