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Finding the Fourth Proportional to 1,385.80, 1,912.34 and 796.30

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Solution

The fourth proportional to 1,385.80, 1,912.34 and 796.30 is: 1,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.80 : 1,912.34 = 796.30 : x
  2. Step 2: Convert to fraction form
    1,385.80/1,912.34 = 796.30/x
  3. Step 3: Cross multiply
    1,385.80x = 1,912.34 × 796.30
  4. Step 4: Simplify right side
    1,385.80x = 1,522,796.34
  5. Step 5: Solve for x
    x = 1,522,796.34/1,385.80
  6. Step 6: Final answer
    x = 1,098.86

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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.