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Finding the Fourth Proportional to 1,386.44, 1,912.82 and 796.56

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Solution

The fourth proportional to 1,386.44, 1,912.82 and 796.56 is: 1,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.44 : 1,912.82 = 796.56 : x
  2. Step 2: Convert to fraction form
    1,386.44/1,912.82 = 796.56/x
  3. Step 3: Cross multiply
    1,386.44x = 1,912.82 × 796.56
  4. Step 4: Simplify right side
    1,386.44x = 1,523,675.90
  5. Step 5: Solve for x
    x = 1,523,675.90/1,386.44
  6. Step 6: Final answer
    x = 1,098.98

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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.