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Finding the Fourth Proportional to 906.78, 1,251.14 and 575.09

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Solution

The fourth proportional to 906.78, 1,251.14 and 575.09 is: 793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.78 : 1,251.14 = 575.09 : x
  2. Step 2: Convert to fraction form
    906.78/1,251.14 = 575.09/x
  3. Step 3: Cross multiply
    906.78x = 1,251.14 × 575.09
  4. Step 4: Simplify right side
    906.78x = 719,518.10
  5. Step 5: Solve for x
    x = 719,518.10/906.78
  6. Step 6: Final answer
    x = 793.49

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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.