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Finding the Fourth Proportional to 644.20, 966.30 and 575.80

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Solution

The fourth proportional to 644.20, 966.30 and 575.80 is: 863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.20 : 966.30 = 575.80 : x
  2. Step 2: Convert to fraction form
    644.20/966.30 = 575.80/x
  3. Step 3: Cross multiply
    644.20x = 966.30 × 575.80
  4. Step 4: Simplify right side
    644.20x = 556,395.54
  5. Step 5: Solve for x
    x = 556,395.54/644.20
  6. Step 6: Final answer
    x = 863.70

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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.