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Finding the Fourth Proportional to 1,426.52, 1,968.56 and 797

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Solution

The fourth proportional to 1,426.52, 1,968.56 and 797 is: 1,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.52 : 1,968.56 = 797 : x
  2. Step 2: Convert to fraction form
    1,426.52/1,968.56 = 797/x
  3. Step 3: Cross multiply
    1,426.52x = 1,968.56 × 797
  4. Step 4: Simplify right side
    1,426.52x = 1,568,942.32
  5. Step 5: Solve for x
    x = 1,568,942.32/1,426.52
  6. Step 6: Final answer
    x = 1,099.84

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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.