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Finding the Fourth Proportional to 643.97, 965.96 and 452.45

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Solution

The fourth proportional to 643.97, 965.96 and 452.45 is: 678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.97 : 965.96 = 452.45 : x
  2. Step 2: Convert to fraction form
    643.97/965.96 = 452.45/x
  3. Step 3: Cross multiply
    643.97x = 965.96 × 452.45
  4. Step 4: Simplify right side
    643.97x = 437,046.34
  5. Step 5: Solve for x
    x = 437,046.34/643.97
  6. Step 6: Final answer
    x = 678.68

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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.