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Finding the Fourth Proportional to 843.42, 1,164.24 and 548.82

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Solution

The fourth proportional to 843.42, 1,164.24 and 548.82 is: 757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.42 : 1,164.24 = 548.82 : x
  2. Step 2: Convert to fraction form
    843.42/1,164.24 = 548.82/x
  3. Step 3: Cross multiply
    843.42x = 1,164.24 × 548.82
  4. Step 4: Simplify right side
    843.42x = 638,958.20
  5. Step 5: Solve for x
    x = 638,958.20/843.42
  6. Step 6: Final answer
    x = 757.58

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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.