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Finding the Fourth Proportional to 515.90, 774.27 and 511.85

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Solution

The fourth proportional to 515.90, 774.27 and 511.85 is: 768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.90 : 774.27 = 511.85 : x
  2. Step 2: Convert to fraction form
    515.90/774.27 = 511.85/x
  3. Step 3: Cross multiply
    515.90x = 774.27 × 511.85
  4. Step 4: Simplify right side
    515.90x = 396,306.23
  5. Step 5: Solve for x
    x = 396,306.23/515.90
  6. Step 6: Final answer
    x = 768.19

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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.