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Finding the Fourth Proportional to 1,192.44, 1,788.46 and 326.60

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Solution

The fourth proportional to 1,192.44, 1,788.46 and 326.60 is: 489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.44 : 1,788.46 = 326.60 : x
  2. Step 2: Convert to fraction form
    1,192.44/1,788.46 = 326.60/x
  3. Step 3: Cross multiply
    1,192.44x = 1,788.46 × 326.60
  4. Step 4: Simplify right side
    1,192.44x = 584,111.04
  5. Step 5: Solve for x
    x = 584,111.04/1,192.44
  6. Step 6: Final answer
    x = 489.85

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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.