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Finding the Fourth Proportional to 667.10, 923.67 and 654.30

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Solution

The fourth proportional to 667.10, 923.67 and 654.30 is: 905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.10 : 923.67 = 654.30 : x
  2. Step 2: Convert to fraction form
    667.10/923.67 = 654.30/x
  3. Step 3: Cross multiply
    667.10x = 923.67 × 654.30
  4. Step 4: Simplify right side
    667.10x = 604,357.28
  5. Step 5: Solve for x
    x = 604,357.28/667.10
  6. Step 6: Final answer
    x = 905.95

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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.