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Finding the Fourth Proportional to 1,361.05, 1,878.76 and 801.55

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Solution

The fourth proportional to 1,361.05, 1,878.76 and 801.55 is: 1,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.05 : 1,878.76 = 801.55 : x
  2. Step 2: Convert to fraction form
    1,361.05/1,878.76 = 801.55/x
  3. Step 3: Cross multiply
    1,361.05x = 1,878.76 × 801.55
  4. Step 4: Simplify right side
    1,361.05x = 1,505,912.86
  5. Step 5: Solve for x
    x = 1,505,912.86/1,361.05
  6. Step 6: Final answer
    x = 1,106.43

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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.