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Finding the Fourth Proportional to 1,396.43, 2,095.01 and 422.56

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Solution

The fourth proportional to 1,396.43, 2,095.01 and 422.56 is: 633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.43 : 2,095.01 = 422.56 : x
  2. Step 2: Convert to fraction form
    1,396.43/2,095.01 = 422.56/x
  3. Step 3: Cross multiply
    1,396.43x = 2,095.01 × 422.56
  4. Step 4: Simplify right side
    1,396.43x = 885,267.43
  5. Step 5: Solve for x
    x = 885,267.43/1,396.43
  6. Step 6: Final answer
    x = 633.95

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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.