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Finding the Fourth Proportional to 1,361.98, 1,878.42 and 837.64

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Solution

The fourth proportional to 1,361.98, 1,878.42 and 837.64 is: 1,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.98 : 1,878.42 = 837.64 : x
  2. Step 2: Convert to fraction form
    1,361.98/1,878.42 = 837.64/x
  3. Step 3: Cross multiply
    1,361.98x = 1,878.42 × 837.64
  4. Step 4: Simplify right side
    1,361.98x = 1,573,439.73
  5. Step 5: Solve for x
    x = 1,573,439.73/1,361.98
  6. Step 6: Final answer
    x = 1,155.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.