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Finding the Fourth Proportional to 634.45, 952.84 and 519.14

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Solution

The fourth proportional to 634.45, 952.84 and 519.14 is: 779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.45 : 952.84 = 519.14 : x
  2. Step 2: Convert to fraction form
    634.45/952.84 = 519.14/x
  3. Step 3: Cross multiply
    634.45x = 952.84 × 519.14
  4. Step 4: Simplify right side
    634.45x = 494,657.36
  5. Step 5: Solve for x
    x = 494,657.36/634.45
  6. Step 6: Final answer
    x = 779.66

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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.