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Finding the Fourth Proportional to 844.50, 1,267.23 and 388.50

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Solution

The fourth proportional to 844.50, 1,267.23 and 388.50 is: 582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.50 : 1,267.23 = 388.50 : x
  2. Step 2: Convert to fraction form
    844.50/1,267.23 = 388.50/x
  3. Step 3: Cross multiply
    844.50x = 1,267.23 × 388.50
  4. Step 4: Simplify right side
    844.50x = 492,318.86
  5. Step 5: Solve for x
    x = 492,318.86/844.50
  6. Step 6: Final answer
    x = 582.97

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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.