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Finding the Fourth Proportional to 1,189.04, 1,782.42 and 641.27

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Solution

The fourth proportional to 1,189.04, 1,782.42 and 641.27 is: 961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.04 : 1,782.42 = 641.27 : x
  2. Step 2: Convert to fraction form
    1,189.04/1,782.42 = 641.27/x
  3. Step 3: Cross multiply
    1,189.04x = 1,782.42 × 641.27
  4. Step 4: Simplify right side
    1,189.04x = 1,143,003.56
  5. Step 5: Solve for x
    x = 1,143,003.56/1,189.04
  6. Step 6: Final answer
    x = 961.29

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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.