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Finding the Fourth Proportional to 644.28, 966.91 and 519.50

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Solution

The fourth proportional to 644.28, 966.91 and 519.50 is: 779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.28 : 966.91 = 519.50 : x
  2. Step 2: Convert to fraction form
    644.28/966.91 = 519.50/x
  3. Step 3: Cross multiply
    644.28x = 966.91 × 519.50
  4. Step 4: Simplify right side
    644.28x = 502,305.95
  5. Step 5: Solve for x
    x = 502,305.95/644.28
  6. Step 6: Final answer
    x = 779.64

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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.