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Finding the Fourth Proportional to 906.26, 1,250.78 and 574.83

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Solution

The fourth proportional to 906.26, 1,250.78 and 574.83 is: 793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.26 : 1,250.78 = 574.83 : x
  2. Step 2: Convert to fraction form
    906.26/1,250.78 = 574.83/x
  3. Step 3: Cross multiply
    906.26x = 1,250.78 × 574.83
  4. Step 4: Simplify right side
    906.26x = 718,982.99
  5. Step 5: Solve for x
    x = 718,982.99/906.26
  6. Step 6: Final answer
    x = 793.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.