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Finding the Fourth Proportional to 1,325.43, 1,991.73 and 709.56

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Solution

The fourth proportional to 1,325.43, 1,991.73 and 709.56 is: 1,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.43 : 1,991.73 = 709.56 : x
  2. Step 2: Convert to fraction form
    1,325.43/1,991.73 = 709.56/x
  3. Step 3: Cross multiply
    1,325.43x = 1,991.73 × 709.56
  4. Step 4: Simplify right side
    1,325.43x = 1,413,251.94
  5. Step 5: Solve for x
    x = 1,413,251.94/1,325.43
  6. Step 6: Final answer
    x = 1,066.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.