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Finding the Fourth Proportional to 884.64, 1,221.12 and 622.20

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Solution

The fourth proportional to 884.64, 1,221.12 and 622.20 is: 858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.64 : 1,221.12 = 622.20 : x
  2. Step 2: Convert to fraction form
    884.64/1,221.12 = 622.20/x
  3. Step 3: Cross multiply
    884.64x = 1,221.12 × 622.20
  4. Step 4: Simplify right side
    884.64x = 759,780.86
  5. Step 5: Solve for x
    x = 759,780.86/884.64
  6. Step 6: Final answer
    x = 858.86

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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.