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Finding the Fourth Proportional to 1,082.23, 1,623.44 and 793.33

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Solution

The fourth proportional to 1,082.23, 1,623.44 and 793.33 is: 1,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.23 : 1,623.44 = 793.33 : x
  2. Step 2: Convert to fraction form
    1,082.23/1,623.44 = 793.33/x
  3. Step 3: Cross multiply
    1,082.23x = 1,623.44 × 793.33
  4. Step 4: Simplify right side
    1,082.23x = 1,287,915.54
  5. Step 5: Solve for x
    x = 1,287,915.54/1,082.23
  6. Step 6: Final answer
    x = 1,190.06

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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.