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Finding the Fourth Proportional to 1,191.21, 1,786.59 and 325.32

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Solution

The fourth proportional to 1,191.21, 1,786.59 and 325.32 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.21 : 1,786.59 = 325.32 : x
  2. Step 2: Convert to fraction form
    1,191.21/1,786.59 = 325.32/x
  3. Step 3: Cross multiply
    1,191.21x = 1,786.59 × 325.32
  4. Step 4: Simplify right side
    1,191.21x = 581,213.46
  5. Step 5: Solve for x
    x = 581,213.46/1,191.21
  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.