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Finding the Fourth Proportional to 884.63, 1,220.19 and 604.42

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Solution

The fourth proportional to 884.63, 1,220.19 and 604.42 is: 833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.63 : 1,220.19 = 604.42 : x
  2. Step 2: Convert to fraction form
    884.63/1,220.19 = 604.42/x
  3. Step 3: Cross multiply
    884.63x = 1,220.19 × 604.42
  4. Step 4: Simplify right side
    884.63x = 737,507.24
  5. Step 5: Solve for x
    x = 737,507.24/884.63
  6. Step 6: Final answer
    x = 833.69

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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.