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Finding the Fourth Proportional to 667.14, 993.37 and 643.76

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Solution

The fourth proportional to 667.14, 993.37 and 643.76 is: 958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.14 : 993.37 = 643.76 : x
  2. Step 2: Convert to fraction form
    667.14/993.37 = 643.76/x
  3. Step 3: Cross multiply
    667.14x = 993.37 × 643.76
  4. Step 4: Simplify right side
    667.14x = 639,491.87
  5. Step 5: Solve for x
    x = 639,491.87/667.14
  6. Step 6: Final answer
    x = 958.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.