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Finding the Fourth Proportional to 1,183.23, 1,774.40 and 566.78

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Solution

The fourth proportional to 1,183.23, 1,774.40 and 566.78 is: 849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.23 : 1,774.40 = 566.78 : x
  2. Step 2: Convert to fraction form
    1,183.23/1,774.40 = 566.78/x
  3. Step 3: Cross multiply
    1,183.23x = 1,774.40 × 566.78
  4. Step 4: Simplify right side
    1,183.23x = 1,005,682.73
  5. Step 5: Solve for x
    x = 1,005,682.73/1,183.23
  6. Step 6: Final answer
    x = 849.95

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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.