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Finding the Fourth Proportional to 1,182.27, 1,773.69 and 451.83

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Solution

The fourth proportional to 1,182.27, 1,773.69 and 451.83 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.27 : 1,773.69 = 451.83 : x
  2. Step 2: Convert to fraction form
    1,182.27/1,773.69 = 451.83/x
  3. Step 3: Cross multiply
    1,182.27x = 1,773.69 × 451.83
  4. Step 4: Simplify right side
    1,182.27x = 801,406.35
  5. Step 5: Solve for x
    x = 801,406.35/1,182.27
  6. Step 6: Final answer
    x = 677.85

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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.