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Finding the Fourth Proportional to 667.29, 998.49 and 587.10

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Solution

The fourth proportional to 667.29, 998.49 and 587.10 is: 878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.29 : 998.49 = 587.10 : x
  2. Step 2: Convert to fraction form
    667.29/998.49 = 587.10/x
  3. Step 3: Cross multiply
    667.29x = 998.49 × 587.10
  4. Step 4: Simplify right side
    667.29x = 586,213.48
  5. Step 5: Solve for x
    x = 586,213.48/667.29
  6. Step 6: Final answer
    x = 878.50

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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.