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Finding the Fourth Proportional to 984.92, 1,477.27 and 254.56

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Solution

The fourth proportional to 984.92, 1,477.27 and 254.56 is: 381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.92 : 1,477.27 = 254.56 : x
  2. Step 2: Convert to fraction form
    984.92/1,477.27 = 254.56/x
  3. Step 3: Cross multiply
    984.92x = 1,477.27 × 254.56
  4. Step 4: Simplify right side
    984.92x = 376,053.85
  5. Step 5: Solve for x
    x = 376,053.85/984.92
  6. Step 6: Final answer
    x = 381.81

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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.