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Finding the Fourth Proportional to 1,361.67, 2,042.51 and 496.05

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Solution

The fourth proportional to 1,361.67, 2,042.51 and 496.05 is: 744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.67 : 2,042.51 = 496.05 : x
  2. Step 2: Convert to fraction form
    1,361.67/2,042.51 = 496.05/x
  3. Step 3: Cross multiply
    1,361.67x = 2,042.51 × 496.05
  4. Step 4: Simplify right side
    1,361.67x = 1,013,187.09
  5. Step 5: Solve for x
    x = 1,013,187.09/1,361.67
  6. Step 6: Final answer
    x = 744.08

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Why These Related Problems?

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