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Finding the Fourth Proportional to 1,385.78, 1,912.40 and 796.38

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Solution

The fourth proportional to 1,385.78, 1,912.40 and 796.38 is: 1,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.78 : 1,912.40 = 796.38 : x
  2. Step 2: Convert to fraction form
    1,385.78/1,912.40 = 796.38/x
  3. Step 3: Cross multiply
    1,385.78x = 1,912.40 × 796.38
  4. Step 4: Simplify right side
    1,385.78x = 1,522,997.11
  5. Step 5: Solve for x
    x = 1,522,997.11/1,385.78
  6. Step 6: Final answer
    x = 1,099.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.