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Finding the Fourth Proportional to 511.86, 768.12 and 509.97

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Solution

The fourth proportional to 511.86, 768.12 and 509.97 is: 765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 768.12 = 509.97 : x
  2. Step 2: Convert to fraction form
    511.86/768.12 = 509.97/x
  3. Step 3: Cross multiply
    511.86x = 768.12 × 509.97
  4. Step 4: Simplify right side
    511.86x = 391,718.16
  5. Step 5: Solve for x
    x = 391,718.16/511.86
  6. Step 6: Final answer
    x = 765.28

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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.