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Finding the Fourth Proportional to 1,192.38, 1,786.27 and 670.80

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Solution

The fourth proportional to 1,192.38, 1,786.27 and 670.80 is: 1,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.38 : 1,786.27 = 670.80 : x
  2. Step 2: Convert to fraction form
    1,192.38/1,786.27 = 670.80/x
  3. Step 3: Cross multiply
    1,192.38x = 1,786.27 × 670.80
  4. Step 4: Simplify right side
    1,192.38x = 1,198,224.26
  5. Step 5: Solve for x
    x = 1,198,224.26/1,192.38
  6. Step 6: Final answer
    x = 1,004.90

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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.