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Finding the Fourth Proportional to 1,311.24, 1,809.51 and 721.77

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Solution

The fourth proportional to 1,311.24, 1,809.51 and 721.77 is: 996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.24 : 1,809.51 = 721.77 : x
  2. Step 2: Convert to fraction form
    1,311.24/1,809.51 = 721.77/x
  3. Step 3: Cross multiply
    1,311.24x = 1,809.51 × 721.77
  4. Step 4: Simplify right side
    1,311.24x = 1,306,050.03
  5. Step 5: Solve for x
    x = 1,306,050.03/1,311.24
  6. Step 6: Final answer
    x = 996.04

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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.