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Finding the Fourth Proportional to 997.23, 1,495.81 and 266.82

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Solution

The fourth proportional to 997.23, 1,495.81 and 266.82 is: 400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.23 : 1,495.81 = 266.82 : x
  2. Step 2: Convert to fraction form
    997.23/1,495.81 = 266.82/x
  3. Step 3: Cross multiply
    997.23x = 1,495.81 × 266.82
  4. Step 4: Simplify right side
    997.23x = 399,112.02
  5. Step 5: Solve for x
    x = 399,112.02/997.23
  6. Step 6: Final answer
    x = 400.22

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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.