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Finding the Fourth Proportional to 905.30, 1,249.08 and 512.31

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Solution

The fourth proportional to 905.30, 1,249.08 and 512.31 is: 706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.30 : 1,249.08 = 512.31 : x
  2. Step 2: Convert to fraction form
    905.30/1,249.08 = 512.31/x
  3. Step 3: Cross multiply
    905.30x = 1,249.08 × 512.31
  4. Step 4: Simplify right side
    905.30x = 639,916.17
  5. Step 5: Solve for x
    x = 639,916.17/905.30
  6. Step 6: Final answer
    x = 706.86

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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.