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Finding the Fourth Proportional to 643.84, 966.85 and 610.97

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Solution

The fourth proportional to 643.84, 966.85 and 610.97 is: 917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.84 : 966.85 = 610.97 : x
  2. Step 2: Convert to fraction form
    643.84/966.85 = 610.97/x
  3. Step 3: Cross multiply
    643.84x = 966.85 × 610.97
  4. Step 4: Simplify right side
    643.84x = 590,709.98
  5. Step 5: Solve for x
    x = 590,709.98/643.84
  6. Step 6: Final answer
    x = 917.48

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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.