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Finding the Fourth Proportional to 997.72, 1,496.89 and 511.11

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Solution

The fourth proportional to 997.72, 1,496.89 and 511.11 is: 766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.72 : 1,496.89 = 511.11 : x
  2. Step 2: Convert to fraction form
    997.72/1,496.89 = 511.11/x
  3. Step 3: Cross multiply
    997.72x = 1,496.89 × 511.11
  4. Step 4: Simplify right side
    997.72x = 765,074.17
  5. Step 5: Solve for x
    x = 765,074.17/997.72
  6. Step 6: Final answer
    x = 766.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.