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Finding the Fourth Proportional to 1,402.84, 1,936.02 and 843.31

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Solution

The fourth proportional to 1,402.84, 1,936.02 and 843.31 is: 1,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.84 : 1,936.02 = 843.31 : x
  2. Step 2: Convert to fraction form
    1,402.84/1,936.02 = 843.31/x
  3. Step 3: Cross multiply
    1,402.84x = 1,936.02 × 843.31
  4. Step 4: Simplify right side
    1,402.84x = 1,632,665.03
  5. Step 5: Solve for x
    x = 1,632,665.03/1,402.84
  6. Step 6: Final answer
    x = 1,163.83

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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.