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Finding the Fourth Proportional to 1,361.88, 2,043.18 and 496.28

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Solution

The fourth proportional to 1,361.88, 2,043.18 and 496.28 is: 744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.88 : 2,043.18 = 496.28 : x
  2. Step 2: Convert to fraction form
    1,361.88/2,043.18 = 496.28/x
  3. Step 3: Cross multiply
    1,361.88x = 2,043.18 × 496.28
  4. Step 4: Simplify right side
    1,361.88x = 1,013,989.37
  5. Step 5: Solve for x
    x = 1,013,989.37/1,361.88
  6. Step 6: Final answer
    x = 744.55

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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.