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Finding the Fourth Proportional to 906.78, 1,251.42 and 513.84

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Solution

The fourth proportional to 906.78, 1,251.42 and 513.84 is: 709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.78 : 1,251.42 = 513.84 : x
  2. Step 2: Convert to fraction form
    906.78/1,251.42 = 513.84/x
  3. Step 3: Cross multiply
    906.78x = 1,251.42 × 513.84
  4. Step 4: Simplify right side
    906.78x = 643,029.65
  5. Step 5: Solve for x
    x = 643,029.65/906.78
  6. Step 6: Final answer
    x = 709.14

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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.