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Finding the Fourth Proportional to 997.87, 1,496.44 and 381.27

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Solution

The fourth proportional to 997.87, 1,496.44 and 381.27 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.87 : 1,496.44 = 381.27 : x
  2. Step 2: Convert to fraction form
    997.87/1,496.44 = 381.27/x
  3. Step 3: Cross multiply
    997.87x = 1,496.44 × 381.27
  4. Step 4: Simplify right side
    997.87x = 570,547.68
  5. Step 5: Solve for x
    x = 570,547.68/997.87
  6. Step 6: Final answer
    x = 571.77

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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.