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Finding the Fourth Proportional to 997.67, 1,496.81 and 511.07

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Solution

The fourth proportional to 997.67, 1,496.81 and 511.07 is: 766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.67 : 1,496.81 = 511.07 : x
  2. Step 2: Convert to fraction form
    997.67/1,496.81 = 511.07/x
  3. Step 3: Cross multiply
    997.67x = 1,496.81 × 511.07
  4. Step 4: Simplify right side
    997.67x = 764,968.48
  5. Step 5: Solve for x
    x = 764,968.48/997.67
  6. Step 6: Final answer
    x = 766.75

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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.