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Finding the Fourth Proportional to 645.62, 967.10 and 436.73

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Solution

The fourth proportional to 645.62, 967.10 and 436.73 is: 654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.62 : 967.10 = 436.73 : x
  2. Step 2: Convert to fraction form
    645.62/967.10 = 436.73/x
  3. Step 3: Cross multiply
    645.62x = 967.10 × 436.73
  4. Step 4: Simplify right side
    645.62x = 422,354.56
  5. Step 5: Solve for x
    x = 422,354.56/645.62
  6. Step 6: Final answer
    x = 654.19

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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.