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Finding the Fourth Proportional to 884.90, 1,221.77 and 553.47

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Solution

The fourth proportional to 884.90, 1,221.77 and 553.47 is: 764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.90 : 1,221.77 = 553.47 : x
  2. Step 2: Convert to fraction form
    884.90/1,221.77 = 553.47/x
  3. Step 3: Cross multiply
    884.90x = 1,221.77 × 553.47
  4. Step 4: Simplify right side
    884.90x = 676,213.04
  5. Step 5: Solve for x
    x = 676,213.04/884.90
  6. Step 6: Final answer
    x = 764.17

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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.