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Finding the Fourth Proportional to 905.31, 1,249.29 and 512.37

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Solution

The fourth proportional to 905.31, 1,249.29 and 512.37 is: 707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.31 : 1,249.29 = 512.37 : x
  2. Step 2: Convert to fraction form
    905.31/1,249.29 = 512.37/x
  3. Step 3: Cross multiply
    905.31x = 1,249.29 × 512.37
  4. Step 4: Simplify right side
    905.31x = 640,098.72
  5. Step 5: Solve for x
    x = 640,098.72/905.31
  6. Step 6: Final answer
    x = 707.05

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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.