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Finding the Fourth Proportional to 1,192.38, 1,788.84 and 422.88

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Solution

The fourth proportional to 1,192.38, 1,788.84 and 422.88 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.38 : 1,788.84 = 422.88 : x
  2. Step 2: Convert to fraction form
    1,192.38/1,788.84 = 422.88/x
  3. Step 3: Cross multiply
    1,192.38x = 1,788.84 × 422.88
  4. Step 4: Simplify right side
    1,192.38x = 756,464.66
  5. Step 5: Solve for x
    x = 756,464.66/1,192.38
  6. Step 6: Final answer
    x = 634.42

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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.