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Finding the Fourth Proportional to 1,186.68, 1,638.20 and 767.27

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Solution

The fourth proportional to 1,186.68, 1,638.20 and 767.27 is: 1,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.68 : 1,638.20 = 767.27 : x
  2. Step 2: Convert to fraction form
    1,186.68/1,638.20 = 767.27/x
  3. Step 3: Cross multiply
    1,186.68x = 1,638.20 × 767.27
  4. Step 4: Simplify right side
    1,186.68x = 1,256,945.57
  5. Step 5: Solve for x
    x = 1,256,945.57/1,186.68
  6. Step 6: Final answer
    x = 1,059.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.