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Finding the Fourth Proportional to 884.89, 1,221.15 and 511.80

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Solution

The fourth proportional to 884.89, 1,221.15 and 511.80 is: 706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.89 : 1,221.15 = 511.80 : x
  2. Step 2: Convert to fraction form
    884.89/1,221.15 = 511.80/x
  3. Step 3: Cross multiply
    884.89x = 1,221.15 × 511.80
  4. Step 4: Simplify right side
    884.89x = 624,984.57
  5. Step 5: Solve for x
    x = 624,984.57/884.89
  6. Step 6: Final answer
    x = 706.29

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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.