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Finding the Fourth Proportional to 1,426.33, 1,968.32 and 796.87

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Solution

The fourth proportional to 1,426.33, 1,968.32 and 796.87 is: 1,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.33 : 1,968.32 = 796.87 : x
  2. Step 2: Convert to fraction form
    1,426.33/1,968.32 = 796.87/x
  3. Step 3: Cross multiply
    1,426.33x = 1,968.32 × 796.87
  4. Step 4: Simplify right side
    1,426.33x = 1,568,499.61
  5. Step 5: Solve for x
    x = 1,568,499.61/1,426.33
  6. Step 6: Final answer
    x = 1,099.67

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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.