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Finding the Fourth Proportional to 906.43, 1,250.83 and 513.44

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Solution

The fourth proportional to 906.43, 1,250.83 and 513.44 is: 708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.43 : 1,250.83 = 513.44 : x
  2. Step 2: Convert to fraction form
    906.43/1,250.83 = 513.44/x
  3. Step 3: Cross multiply
    906.43x = 1,250.83 × 513.44
  4. Step 4: Simplify right side
    906.43x = 642,223.59
  5. Step 5: Solve for x
    x = 642,223.59/906.43
  6. Step 6: Final answer
    x = 708.52

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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.