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Finding the Fourth Proportional to 997.91, 1,496.74 and 267.54

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Solution

The fourth proportional to 997.91, 1,496.74 and 267.54 is: 401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.91 : 1,496.74 = 267.54 : x
  2. Step 2: Convert to fraction form
    997.91/1,496.74 = 267.54/x
  3. Step 3: Cross multiply
    997.91x = 1,496.74 × 267.54
  4. Step 4: Simplify right side
    997.91x = 400,437.82
  5. Step 5: Solve for x
    x = 400,437.82/997.91
  6. Step 6: Final answer
    x = 401.28

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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.