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Finding the Fourth Proportional to 1,386.21, 1,912.87 and 796.79

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Solution

The fourth proportional to 1,386.21, 1,912.87 and 796.79 is: 1,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.21 : 1,912.87 = 796.79 : x
  2. Step 2: Convert to fraction form
    1,386.21/1,912.87 = 796.79/x
  3. Step 3: Cross multiply
    1,386.21x = 1,912.87 × 796.79
  4. Step 4: Simplify right side
    1,386.21x = 1,524,146.22
  5. Step 5: Solve for x
    x = 1,524,146.22/1,386.21
  6. Step 6: Final answer
    x = 1,099.50

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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.