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Finding the Fourth Proportional to 912.12, 1,369.94 and 871.16

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Solution

The fourth proportional to 912.12, 1,369.94 and 871.16 is: 1,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.12 : 1,369.94 = 871.16 : x
  2. Step 2: Convert to fraction form
    912.12/1,369.94 = 871.16/x
  3. Step 3: Cross multiply
    912.12x = 1,369.94 × 871.16
  4. Step 4: Simplify right side
    912.12x = 1,193,436.93
  5. Step 5: Solve for x
    x = 1,193,436.93/912.12
  6. Step 6: Final answer
    x = 1,308.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.