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Finding the Fourth Proportional to 1,361.31, 1,878.59 and 771.84

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Solution

The fourth proportional to 1,361.31, 1,878.59 and 771.84 is: 1,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.31 : 1,878.59 = 771.84 : x
  2. Step 2: Convert to fraction form
    1,361.31/1,878.59 = 771.84/x
  3. Step 3: Cross multiply
    1,361.31x = 1,878.59 × 771.84
  4. Step 4: Simplify right side
    1,361.31x = 1,449,967.05
  5. Step 5: Solve for x
    x = 1,449,967.05/1,361.31
  6. Step 6: Final answer
    x = 1,065.13

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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.