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Finding the Fourth Proportional to 1,198.99, 1,796.08 and 548.83

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Solution

The fourth proportional to 1,198.99, 1,796.08 and 548.83 is: 822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.99 : 1,796.08 = 548.83 : x
  2. Step 2: Convert to fraction form
    1,198.99/1,796.08 = 548.83/x
  3. Step 3: Cross multiply
    1,198.99x = 1,796.08 × 548.83
  4. Step 4: Simplify right side
    1,198.99x = 985,742.59
  5. Step 5: Solve for x
    x = 985,742.59/1,198.99
  6. Step 6: Final answer
    x = 822.14

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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.