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Finding the Fourth Proportional to 906.68, 1,251.14 and 513.74

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Solution

The fourth proportional to 906.68, 1,251.14 and 513.74 is: 708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.68 : 1,251.14 = 513.74 : x
  2. Step 2: Convert to fraction form
    906.68/1,251.14 = 513.74/x
  3. Step 3: Cross multiply
    906.68x = 1,251.14 × 513.74
  4. Step 4: Simplify right side
    906.68x = 642,760.66
  5. Step 5: Solve for x
    x = 642,760.66/906.68
  6. Step 6: Final answer
    x = 708.92

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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.