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Finding the Fourth Proportional to 905.95, 1,250.20 and 512.97

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Solution

The fourth proportional to 905.95, 1,250.20 and 512.97 is: 707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.95 : 1,250.20 = 512.97 : x
  2. Step 2: Convert to fraction form
    905.95/1,250.20 = 512.97/x
  3. Step 3: Cross multiply
    905.95x = 1,250.20 × 512.97
  4. Step 4: Simplify right side
    905.95x = 641,315.09
  5. Step 5: Solve for x
    x = 641,315.09/905.95
  6. Step 6: Final answer
    x = 707.89

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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.