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Finding the Fourth Proportional to 884.62, 1,221.33 and 635.77

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Solution

The fourth proportional to 884.62, 1,221.33 and 635.77 is: 877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.62 : 1,221.33 = 635.77 : x
  2. Step 2: Convert to fraction form
    884.62/1,221.33 = 635.77/x
  3. Step 3: Cross multiply
    884.62x = 1,221.33 × 635.77
  4. Step 4: Simplify right side
    884.62x = 776,484.97
  5. Step 5: Solve for x
    x = 776,484.97/884.62
  6. Step 6: Final answer
    x = 877.76

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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.