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Finding the Fourth Proportional to 906.20, 1,250.24 and 574.57

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Solution

The fourth proportional to 906.20, 1,250.24 and 574.57 is: 792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.20 : 1,250.24 = 574.57 : x
  2. Step 2: Convert to fraction form
    906.20/1,250.24 = 574.57/x
  3. Step 3: Cross multiply
    906.20x = 1,250.24 × 574.57
  4. Step 4: Simplify right side
    906.20x = 718,349.09
  5. Step 5: Solve for x
    x = 718,349.09/906.20
  6. Step 6: Final answer
    x = 792.71

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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.