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Finding the Fourth Proportional to 1,190.77, 1,786.19 and 325.08

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Solution

The fourth proportional to 1,190.77, 1,786.19 and 325.08 is: 487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.77 : 1,786.19 = 325.08 : x
  2. Step 2: Convert to fraction form
    1,190.77/1,786.19 = 325.08/x
  3. Step 3: Cross multiply
    1,190.77x = 1,786.19 × 325.08
  4. Step 4: Simplify right side
    1,190.77x = 580,653.02
  5. Step 5: Solve for x
    x = 580,653.02/1,190.77
  6. Step 6: Final answer
    x = 487.63

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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.