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Finding the Fourth Proportional to 1,288.82, 1,933.23 and 704.41

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Solution

The fourth proportional to 1,288.82, 1,933.23 and 704.41 is: 1,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.82 : 1,933.23 = 704.41 : x
  2. Step 2: Convert to fraction form
    1,288.82/1,933.23 = 704.41/x
  3. Step 3: Cross multiply
    1,288.82x = 1,933.23 × 704.41
  4. Step 4: Simplify right side
    1,288.82x = 1,361,786.54
  5. Step 5: Solve for x
    x = 1,361,786.54/1,288.82
  6. Step 6: Final answer
    x = 1,056.62

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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.