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Finding the Fourth Proportional to 768.27, 1,150.92 and 460.37

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Solution

The fourth proportional to 768.27, 1,150.92 and 460.37 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.27 : 1,150.92 = 460.37 : x
  2. Step 2: Convert to fraction form
    768.27/1,150.92 = 460.37/x
  3. Step 3: Cross multiply
    768.27x = 1,150.92 × 460.37
  4. Step 4: Simplify right side
    768.27x = 529,843.29
  5. Step 5: Solve for x
    x = 529,843.29/768.27
  6. Step 6: Final answer
    x = 689.66

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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.