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Finding the Fourth Proportional to 1,361.36, 1,878.72 and 830.60

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Solution

The fourth proportional to 1,361.36, 1,878.72 and 830.60 is: 1,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.36 : 1,878.72 = 830.60 : x
  2. Step 2: Convert to fraction form
    1,361.36/1,878.72 = 830.60/x
  3. Step 3: Cross multiply
    1,361.36x = 1,878.72 × 830.60
  4. Step 4: Simplify right side
    1,361.36x = 1,560,464.83
  5. Step 5: Solve for x
    x = 1,560,464.83/1,361.36
  6. Step 6: Final answer
    x = 1,146.25

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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.