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Finding the Fourth Proportional to 1,396.94, 2,095.73 and 422.97

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Solution

The fourth proportional to 1,396.94, 2,095.73 and 422.97 is: 634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.94 : 2,095.73 = 422.97 : x
  2. Step 2: Convert to fraction form
    1,396.94/2,095.73 = 422.97/x
  3. Step 3: Cross multiply
    1,396.94x = 2,095.73 × 422.97
  4. Step 4: Simplify right side
    1,396.94x = 886,428.80
  5. Step 5: Solve for x
    x = 886,428.80/1,396.94
  6. Step 6: Final answer
    x = 634.55

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Why These Related Problems?

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