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Finding the Fourth Proportional to 905.83, 1,361.02 and 576.91

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Solution

The fourth proportional to 905.83, 1,361.02 and 576.91 is: 866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.83 : 1,361.02 = 576.91 : x
  2. Step 2: Convert to fraction form
    905.83/1,361.02 = 576.91/x
  3. Step 3: Cross multiply
    905.83x = 1,361.02 × 576.91
  4. Step 4: Simplify right side
    905.83x = 785,186.05
  5. Step 5: Solve for x
    x = 785,186.05/905.83
  6. Step 6: Final answer
    x = 866.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.