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Finding the Fourth Proportional to 1,396.44, 2,094.75 and 422.61

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Solution

The fourth proportional to 1,396.44, 2,094.75 and 422.61 is: 633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.44 : 2,094.75 = 422.61 : x
  2. Step 2: Convert to fraction form
    1,396.44/2,094.75 = 422.61/x
  3. Step 3: Cross multiply
    1,396.44x = 2,094.75 × 422.61
  4. Step 4: Simplify right side
    1,396.44x = 885,262.30
  5. Step 5: Solve for x
    x = 885,262.30/1,396.44
  6. Step 6: Final answer
    x = 633.94

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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.