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Finding the Fourth Proportional to 1,182.56, 1,773.42 and 566.96

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Solution

The fourth proportional to 1,182.56, 1,773.42 and 566.96 is: 850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.56 : 1,773.42 = 566.96 : x
  2. Step 2: Convert to fraction form
    1,182.56/1,773.42 = 566.96/x
  3. Step 3: Cross multiply
    1,182.56x = 1,773.42 × 566.96
  4. Step 4: Simplify right side
    1,182.56x = 1,005,458.20
  5. Step 5: Solve for x
    x = 1,005,458.20/1,182.56
  6. Step 6: Final answer
    x = 850.24

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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.