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Finding the Fourth Proportional to 884.37, 1,220.67 and 552.60

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Solution

The fourth proportional to 884.37, 1,220.67 and 552.60 is: 762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.37 : 1,220.67 = 552.60 : x
  2. Step 2: Convert to fraction form
    884.37/1,220.67 = 552.60/x
  3. Step 3: Cross multiply
    884.37x = 1,220.67 × 552.60
  4. Step 4: Simplify right side
    884.37x = 674,542.24
  5. Step 5: Solve for x
    x = 674,542.24/884.37
  6. Step 6: Final answer
    x = 762.74

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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.