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Finding the Fourth Proportional to 644.97, 966.83 and 576.21

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Solution

The fourth proportional to 644.97, 966.83 and 576.21 is: 863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.97 : 966.83 = 576.21 : x
  2. Step 2: Convert to fraction form
    644.97/966.83 = 576.21/x
  3. Step 3: Cross multiply
    644.97x = 966.83 × 576.21
  4. Step 4: Simplify right side
    644.97x = 557,094.23
  5. Step 5: Solve for x
    x = 557,094.23/644.97
  6. Step 6: Final answer
    x = 863.75

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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.