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Finding the Fourth Proportional to 1,426.48, 1,968.40 and 796.96

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Solution

The fourth proportional to 1,426.48, 1,968.40 and 796.96 is: 1,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.48 : 1,968.40 = 796.96 : x
  2. Step 2: Convert to fraction form
    1,426.48/1,968.40 = 796.96/x
  3. Step 3: Cross multiply
    1,426.48x = 1,968.40 × 796.96
  4. Step 4: Simplify right side
    1,426.48x = 1,568,729.15
  5. Step 5: Solve for x
    x = 1,568,729.15/1,426.48
  6. Step 6: Final answer
    x = 1,099.72

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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.