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Finding the Fourth Proportional to 884.28, 1,220.42 and 506.31

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Solution

The fourth proportional to 884.28, 1,220.42 and 506.31 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.28 : 1,220.42 = 506.31 : x
  2. Step 2: Convert to fraction form
    884.28/1,220.42 = 506.31/x
  3. Step 3: Cross multiply
    884.28x = 1,220.42 × 506.31
  4. Step 4: Simplify right side
    884.28x = 617,913.63
  5. Step 5: Solve for x
    x = 617,913.63/884.28
  6. Step 6: Final answer
    x = 698.77

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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.