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Finding the Fourth Proportional to 1,198.77, 1,796.63 and 539.94

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Solution

The fourth proportional to 1,198.77, 1,796.63 and 539.94 is: 809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.77 : 1,796.63 = 539.94 : x
  2. Step 2: Convert to fraction form
    1,198.77/1,796.63 = 539.94/x
  3. Step 3: Cross multiply
    1,198.77x = 1,796.63 × 539.94
  4. Step 4: Simplify right side
    1,198.77x = 970,073.75
  5. Step 5: Solve for x
    x = 970,073.75/1,198.77
  6. Step 6: Final answer
    x = 809.23

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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.