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Finding the Fourth Proportional to 1,331.28, 1,832.70 and 999.14

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Solution

The fourth proportional to 1,331.28, 1,832.70 and 999.14 is: 1,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.28 : 1,832.70 = 999.14 : x
  2. Step 2: Convert to fraction form
    1,331.28/1,832.70 = 999.14/x
  3. Step 3: Cross multiply
    1,331.28x = 1,832.70 × 999.14
  4. Step 4: Simplify right side
    1,331.28x = 1,831,123.88
  5. Step 5: Solve for x
    x = 1,831,123.88/1,331.28
  6. Step 6: Final answer
    x = 1,375.46

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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.