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Finding the Fourth Proportional to 1,198.26, 1,796.58 and 548.64

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Solution

The fourth proportional to 1,198.26, 1,796.58 and 548.64 is: 822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.26 : 1,796.58 = 548.64 : x
  2. Step 2: Convert to fraction form
    1,198.26/1,796.58 = 548.64/x
  3. Step 3: Cross multiply
    1,198.26x = 1,796.58 × 548.64
  4. Step 4: Simplify right side
    1,198.26x = 985,675.65
  5. Step 5: Solve for x
    x = 985,675.65/1,198.26
  6. Step 6: Final answer
    x = 822.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.