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Finding the Fourth Proportional to 1,426.25, 1,968.28 and 796.81

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Solution

The fourth proportional to 1,426.25, 1,968.28 and 796.81 is: 1,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.25 : 1,968.28 = 796.81 : x
  2. Step 2: Convert to fraction form
    1,426.25/1,968.28 = 796.81/x
  3. Step 3: Cross multiply
    1,426.25x = 1,968.28 × 796.81
  4. Step 4: Simplify right side
    1,426.25x = 1,568,345.19
  5. Step 5: Solve for x
    x = 1,568,345.19/1,426.25
  6. Step 6: Final answer
    x = 1,099.63

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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.