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Finding the Fourth Proportional to 884.43, 1,220.62 and 491.48

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Solution

The fourth proportional to 884.43, 1,220.62 and 491.48 is: 678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.43 : 1,220.62 = 491.48 : x
  2. Step 2: Convert to fraction form
    884.43/1,220.62 = 491.48/x
  3. Step 3: Cross multiply
    884.43x = 1,220.62 × 491.48
  4. Step 4: Simplify right side
    884.43x = 599,910.32
  5. Step 5: Solve for x
    x = 599,910.32/884.43
  6. Step 6: Final answer
    x = 678.30

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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.