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Finding the Fourth Proportional to 1,192.23, 1,786.82 and 574.74

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Solution

The fourth proportional to 1,192.23, 1,786.82 and 574.74 is: 861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.23 : 1,786.82 = 574.74 : x
  2. Step 2: Convert to fraction form
    1,192.23/1,786.82 = 574.74/x
  3. Step 3: Cross multiply
    1,192.23x = 1,786.82 × 574.74
  4. Step 4: Simplify right side
    1,192.23x = 1,026,954.05
  5. Step 5: Solve for x
    x = 1,026,954.05/1,192.23
  6. Step 6: Final answer
    x = 861.37

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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.