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Finding the Fourth Proportional to 609.97, 913.37 and 512.24

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Solution

The fourth proportional to 609.97, 913.37 and 512.24 is: 767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.97 : 913.37 = 512.24 : x
  2. Step 2: Convert to fraction form
    609.97/913.37 = 512.24/x
  3. Step 3: Cross multiply
    609.97x = 913.37 × 512.24
  4. Step 4: Simplify right side
    609.97x = 467,866.29
  5. Step 5: Solve for x
    x = 467,866.29/609.97
  6. Step 6: Final answer
    x = 767.03

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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.