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Finding the Fourth Proportional to 906.51, 1,251.05 and 513.63

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Solution

The fourth proportional to 906.51, 1,251.05 and 513.63 is: 708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.51 : 1,251.05 = 513.63 : x
  2. Step 2: Convert to fraction form
    906.51/1,251.05 = 513.63/x
  3. Step 3: Cross multiply
    906.51x = 1,251.05 × 513.63
  4. Step 4: Simplify right side
    906.51x = 642,574.24
  5. Step 5: Solve for x
    x = 642,574.24/906.51
  6. Step 6: Final answer
    x = 708.84

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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.