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Finding the Fourth Proportional to 768.82, 1,150.64 and 563.74

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Solution

The fourth proportional to 768.82, 1,150.64 and 563.74 is: 843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.82 : 1,150.64 = 563.74 : x
  2. Step 2: Convert to fraction form
    768.82/1,150.64 = 563.74/x
  3. Step 3: Cross multiply
    768.82x = 1,150.64 × 563.74
  4. Step 4: Simplify right side
    768.82x = 648,661.79
  5. Step 5: Solve for x
    x = 648,661.79/768.82
  6. Step 6: Final answer
    x = 843.71

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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.