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Finding the Fourth Proportional to 1,396.04, 2,093.99 and 422.15

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Solution

The fourth proportional to 1,396.04, 2,093.99 and 422.15 is: 633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.04 : 2,093.99 = 422.15 : x
  2. Step 2: Convert to fraction form
    1,396.04/2,093.99 = 422.15/x
  3. Step 3: Cross multiply
    1,396.04x = 2,093.99 × 422.15
  4. Step 4: Simplify right side
    1,396.04x = 883,965.30
  5. Step 5: Solve for x
    x = 883,965.30/1,396.04
  6. Step 6: Final answer
    x = 633.20

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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.