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Finding the Fourth Proportional to 884.75, 1,220.97 and 511.84

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Solution

The fourth proportional to 884.75, 1,220.97 and 511.84 is: 706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.75 : 1,220.97 = 511.84 : x
  2. Step 2: Convert to fraction form
    884.75/1,220.97 = 511.84/x
  3. Step 3: Cross multiply
    884.75x = 1,220.97 × 511.84
  4. Step 4: Simplify right side
    884.75x = 624,944.73
  5. Step 5: Solve for x
    x = 624,944.73/884.75
  6. Step 6: Final answer
    x = 706.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.