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Finding the Fourth Proportional to 905.94, 1,249.71 and 574.25

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Solution

The fourth proportional to 905.94, 1,249.71 and 574.25 is: 792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.94 : 1,249.71 = 574.25 : x
  2. Step 2: Convert to fraction form
    905.94/1,249.71 = 574.25/x
  3. Step 3: Cross multiply
    905.94x = 1,249.71 × 574.25
  4. Step 4: Simplify right side
    905.94x = 717,645.97
  5. Step 5: Solve for x
    x = 717,645.97/905.94
  6. Step 6: Final answer
    x = 792.16

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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.