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Finding the Fourth Proportional to 1,403.09, 1,936.03 and 843.42

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Solution

The fourth proportional to 1,403.09, 1,936.03 and 843.42 is: 1,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.09 : 1,936.03 = 843.42 : x
  2. Step 2: Convert to fraction form
    1,403.09/1,936.03 = 843.42/x
  3. Step 3: Cross multiply
    1,403.09x = 1,936.03 × 843.42
  4. Step 4: Simplify right side
    1,403.09x = 1,632,882.21
  5. Step 5: Solve for x
    x = 1,632,882.21/1,403.09
  6. Step 6: Final answer
    x = 1,163.78

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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.