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Finding the Fourth Proportional to 906.48, 1,250.92 and 513.51

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Solution

The fourth proportional to 906.48, 1,250.92 and 513.51 is: 708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.48 : 1,250.92 = 513.51 : x
  2. Step 2: Convert to fraction form
    906.48/1,250.92 = 513.51/x
  3. Step 3: Cross multiply
    906.48x = 1,250.92 × 513.51
  4. Step 4: Simplify right side
    906.48x = 642,359.93
  5. Step 5: Solve for x
    x = 642,359.93/906.48
  6. Step 6: Final answer
    x = 708.63

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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.