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Finding the Fourth Proportional to 1,183.28, 1,774.83 and 403.25

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Solution

The fourth proportional to 1,183.28, 1,774.83 and 403.25 is: 604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.28 : 1,774.83 = 403.25 : x
  2. Step 2: Convert to fraction form
    1,183.28/1,774.83 = 403.25/x
  3. Step 3: Cross multiply
    1,183.28x = 1,774.83 × 403.25
  4. Step 4: Simplify right side
    1,183.28x = 715,691.32
  5. Step 5: Solve for x
    x = 715,691.32/1,183.28
  6. Step 6: Final answer
    x = 604.84

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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.