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Finding the Fourth Proportional to 1,344.23, 2,012.91 and 796.81

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Solution

The fourth proportional to 1,344.23, 2,012.91 and 796.81 is: 1,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.23 : 2,012.91 = 796.81 : x
  2. Step 2: Convert to fraction form
    1,344.23/2,012.91 = 796.81/x
  3. Step 3: Cross multiply
    1,344.23x = 2,012.91 × 796.81
  4. Step 4: Simplify right side
    1,344.23x = 1,603,906.82
  5. Step 5: Solve for x
    x = 1,603,906.82/1,344.23
  6. Step 6: Final answer
    x = 1,193.18

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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.