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Finding the Fourth Proportional to 1,361.29, 2,042.06 and 483.71

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Solution

The fourth proportional to 1,361.29, 2,042.06 and 483.71 is: 725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.29 : 2,042.06 = 483.71 : x
  2. Step 2: Convert to fraction form
    1,361.29/2,042.06 = 483.71/x
  3. Step 3: Cross multiply
    1,361.29x = 2,042.06 × 483.71
  4. Step 4: Simplify right side
    1,361.29x = 987,766.05
  5. Step 5: Solve for x
    x = 987,766.05/1,361.29
  6. Step 6: Final answer
    x = 725.61

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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.