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Finding the Fourth Proportional to 662.40, 993.51 and 644.58

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Solution

The fourth proportional to 662.40, 993.51 and 644.58 is: 966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 993.51 = 644.58 : x
  2. Step 2: Convert to fraction form
    662.40/993.51 = 644.58/x
  3. Step 3: Cross multiply
    662.40x = 993.51 × 644.58
  4. Step 4: Simplify right side
    662.40x = 640,396.68
  5. Step 5: Solve for x
    x = 640,396.68/662.40
  6. Step 6: Final answer
    x = 966.78

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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.