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Finding the Fourth Proportional to 906.73, 1,251.27 and 513.77

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Solution

The fourth proportional to 906.73, 1,251.27 and 513.77 is: 708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.73 : 1,251.27 = 513.77 : x
  2. Step 2: Convert to fraction form
    906.73/1,251.27 = 513.77/x
  3. Step 3: Cross multiply
    906.73x = 1,251.27 × 513.77
  4. Step 4: Simplify right side
    906.73x = 642,864.99
  5. Step 5: Solve for x
    x = 642,864.99/906.73
  6. Step 6: Final answer
    x = 708.99

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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.