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Finding the Fourth Proportional to 633.63, 871.95 and 581.22

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Solution

The fourth proportional to 633.63, 871.95 and 581.22 is: 799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.63 : 871.95 = 581.22 : x
  2. Step 2: Convert to fraction form
    633.63/871.95 = 581.22/x
  3. Step 3: Cross multiply
    633.63x = 871.95 × 581.22
  4. Step 4: Simplify right side
    633.63x = 506,794.78
  5. Step 5: Solve for x
    x = 506,794.78/633.63
  6. Step 6: Final answer
    x = 799.83

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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.