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Finding the Fourth Proportional to 1,311.27, 1,809.51 and 744.09

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Solution

The fourth proportional to 1,311.27, 1,809.51 and 744.09 is: 1,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.27 : 1,809.51 = 744.09 : x
  2. Step 2: Convert to fraction form
    1,311.27/1,809.51 = 744.09/x
  3. Step 3: Cross multiply
    1,311.27x = 1,809.51 × 744.09
  4. Step 4: Simplify right side
    1,311.27x = 1,346,438.30
  5. Step 5: Solve for x
    x = 1,346,438.30/1,311.27
  6. Step 6: Final answer
    x = 1,026.82

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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.