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Finding the Fourth Proportional to 1,191.22, 1,786.56 and 325.60

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Solution

The fourth proportional to 1,191.22, 1,786.56 and 325.60 is: 488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.22 : 1,786.56 = 325.60 : x
  2. Step 2: Convert to fraction form
    1,191.22/1,786.56 = 325.60/x
  3. Step 3: Cross multiply
    1,191.22x = 1,786.56 × 325.60
  4. Step 4: Simplify right side
    1,191.22x = 581,703.94
  5. Step 5: Solve for x
    x = 581,703.94/1,191.22
  6. Step 6: Final answer
    x = 488.33

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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.