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Finding the Fourth Proportional to 884.50, 1,220.62 and 491.54

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Solution

The fourth proportional to 884.50, 1,220.62 and 491.54 is: 678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.50 : 1,220.62 = 491.54 : x
  2. Step 2: Convert to fraction form
    884.50/1,220.62 = 491.54/x
  3. Step 3: Cross multiply
    884.50x = 1,220.62 × 491.54
  4. Step 4: Simplify right side
    884.50x = 599,983.55
  5. Step 5: Solve for x
    x = 599,983.55/884.50
  6. Step 6: Final answer
    x = 678.33

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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.