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Finding the Fourth Proportional to 905.91, 1,250.04 and 512.94

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Solution

The fourth proportional to 905.91, 1,250.04 and 512.94 is: 707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.91 : 1,250.04 = 512.94 : x
  2. Step 2: Convert to fraction form
    905.91/1,250.04 = 512.94/x
  3. Step 3: Cross multiply
    905.91x = 1,250.04 × 512.94
  4. Step 4: Simplify right side
    905.91x = 641,195.52
  5. Step 5: Solve for x
    x = 641,195.52/905.91
  6. Step 6: Final answer
    x = 707.79

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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.