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Finding the Fourth Proportional to 884.14, 1,220.49 and 552.50

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Solution

The fourth proportional to 884.14, 1,220.49 and 552.50 is: 762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.14 : 1,220.49 = 552.50 : x
  2. Step 2: Convert to fraction form
    884.14/1,220.49 = 552.50/x
  3. Step 3: Cross multiply
    884.14x = 1,220.49 × 552.50
  4. Step 4: Simplify right side
    884.14x = 674,314.62
  5. Step 5: Solve for x
    x = 674,314.62/884.14
  6. Step 6: Final answer
    x = 762.68

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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.