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Finding the Fourth Proportional to 1,286.96, 1,771.64 and 1,129.31

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Solution

The fourth proportional to 1,286.96, 1,771.64 and 1,129.31 is: 1,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.96 : 1,771.64 = 1,129.31 : x
  2. Step 2: Convert to fraction form
    1,286.96/1,771.64 = 1,129.31/x
  3. Step 3: Cross multiply
    1,286.96x = 1,771.64 × 1,129.31
  4. Step 4: Simplify right side
    1,286.96x = 2,000,727.14
  5. Step 5: Solve for x
    x = 2,000,727.14/1,286.96
  6. Step 6: Final answer
    x = 1,554.62

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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.