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Finding the Fourth Proportional to 1,314.01, 1,812.04 and 871.12

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Solution

The fourth proportional to 1,314.01, 1,812.04 and 871.12 is: 1,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.01 : 1,812.04 = 871.12 : x
  2. Step 2: Convert to fraction form
    1,314.01/1,812.04 = 871.12/x
  3. Step 3: Cross multiply
    1,314.01x = 1,812.04 × 871.12
  4. Step 4: Simplify right side
    1,314.01x = 1,578,504.28
  5. Step 5: Solve for x
    x = 1,578,504.28/1,314.01
  6. Step 6: Final answer
    x = 1,201.29

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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.