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Finding the Fourth Proportional to 667.88, 998.94 and 566.12

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Solution

The fourth proportional to 667.88, 998.94 and 566.12 is: 846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.88 : 998.94 = 566.12 : x
  2. Step 2: Convert to fraction form
    667.88/998.94 = 566.12/x
  3. Step 3: Cross multiply
    667.88x = 998.94 × 566.12
  4. Step 4: Simplify right side
    667.88x = 565,519.91
  5. Step 5: Solve for x
    x = 565,519.91/667.88
  6. Step 6: Final answer
    x = 846.74

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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.