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Finding the Fourth Proportional to 773.20, 1,067.34 and 511.57

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Solution

The fourth proportional to 773.20, 1,067.34 and 511.57 is: 706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.20 : 1,067.34 = 511.57 : x
  2. Step 2: Convert to fraction form
    773.20/1,067.34 = 511.57/x
  3. Step 3: Cross multiply
    773.20x = 1,067.34 × 511.57
  4. Step 4: Simplify right side
    773.20x = 546,019.12
  5. Step 5: Solve for x
    x = 546,019.12/773.20
  6. Step 6: Final answer
    x = 706.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.