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Finding the Fourth Proportional to 1,190.91, 1,786.41 and 325.22

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Solution

The fourth proportional to 1,190.91, 1,786.41 and 325.22 is: 487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.91 : 1,786.41 = 325.22 : x
  2. Step 2: Convert to fraction form
    1,190.91/1,786.41 = 325.22/x
  3. Step 3: Cross multiply
    1,190.91x = 1,786.41 × 325.22
  4. Step 4: Simplify right side
    1,190.91x = 580,980.73
  5. Step 5: Solve for x
    x = 580,980.73/1,190.91
  6. Step 6: Final answer
    x = 487.85

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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.