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Finding the Fourth Proportional to 1,396.14, 2,092.43 and 778.95

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Solution

The fourth proportional to 1,396.14, 2,092.43 and 778.95 is: 1,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.14 : 2,092.43 = 778.95 : x
  2. Step 2: Convert to fraction form
    1,396.14/2,092.43 = 778.95/x
  3. Step 3: Cross multiply
    1,396.14x = 2,092.43 × 778.95
  4. Step 4: Simplify right side
    1,396.14x = 1,629,900.30
  5. Step 5: Solve for x
    x = 1,629,900.30/1,396.14
  6. Step 6: Final answer
    x = 1,167.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.