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Finding the Fourth Proportional to 667.62, 998.32 and 594.91

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Solution

The fourth proportional to 667.62, 998.32 and 594.91 is: 889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.62 : 998.32 = 594.91 : x
  2. Step 2: Convert to fraction form
    667.62/998.32 = 594.91/x
  3. Step 3: Cross multiply
    667.62x = 998.32 × 594.91
  4. Step 4: Simplify right side
    667.62x = 593,910.55
  5. Step 5: Solve for x
    x = 593,910.55/667.62
  6. Step 6: Final answer
    x = 889.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.