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Finding the Fourth Proportional to 905.75, 1,249.97 and 556.37

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Solution

The fourth proportional to 905.75, 1,249.97 and 556.37 is: 767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.75 : 1,249.97 = 556.37 : x
  2. Step 2: Convert to fraction form
    905.75/1,249.97 = 556.37/x
  3. Step 3: Cross multiply
    905.75x = 1,249.97 × 556.37
  4. Step 4: Simplify right side
    905.75x = 695,445.81
  5. Step 5: Solve for x
    x = 695,445.81/905.75
  6. Step 6: Final answer
    x = 767.81

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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.