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Finding the Fourth Proportional to 1,190.98, 1,786.41 and 325.29

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Solution

The fourth proportional to 1,190.98, 1,786.41 and 325.29 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.98 : 1,786.41 = 325.29 : x
  2. Step 2: Convert to fraction form
    1,190.98/1,786.41 = 325.29/x
  3. Step 3: Cross multiply
    1,190.98x = 1,786.41 × 325.29
  4. Step 4: Simplify right side
    1,190.98x = 581,106.18
  5. Step 5: Solve for x
    x = 581,106.18/1,190.98
  6. Step 6: Final answer
    x = 487.92

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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.