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Finding the Fourth Proportional to 996.54, 1,492.29 and 789.18

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Solution

The fourth proportional to 996.54, 1,492.29 and 789.18 is: 1,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.54 : 1,492.29 = 789.18 : x
  2. Step 2: Convert to fraction form
    996.54/1,492.29 = 789.18/x
  3. Step 3: Cross multiply
    996.54x = 1,492.29 × 789.18
  4. Step 4: Simplify right side
    996.54x = 1,177,685.42
  5. Step 5: Solve for x
    x = 1,177,685.42/996.54
  6. Step 6: Final answer
    x = 1,181.77

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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.