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Finding the Fourth Proportional to 1,199.52, 1,789.16 and 1,163.07

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Solution

The fourth proportional to 1,199.52, 1,789.16 and 1,163.07 is: 1,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.52 : 1,789.16 = 1,163.07 : x
  2. Step 2: Convert to fraction form
    1,199.52/1,789.16 = 1,163.07/x
  3. Step 3: Cross multiply
    1,199.52x = 1,789.16 × 1,163.07
  4. Step 4: Simplify right side
    1,199.52x = 2,080,912.51
  5. Step 5: Solve for x
    x = 2,080,912.51/1,199.52
  6. Step 6: Final answer
    x = 1,734.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.