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Finding the Fourth Proportional to 1,183.55, 1,629.72 and 1,035.32

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Solution

The fourth proportional to 1,183.55, 1,629.72 and 1,035.32 is: 1,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.55 : 1,629.72 = 1,035.32 : x
  2. Step 2: Convert to fraction form
    1,183.55/1,629.72 = 1,035.32/x
  3. Step 3: Cross multiply
    1,183.55x = 1,629.72 × 1,035.32
  4. Step 4: Simplify right side
    1,183.55x = 1,687,273.56
  5. Step 5: Solve for x
    x = 1,687,273.56/1,183.55
  6. Step 6: Final answer
    x = 1,425.61

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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.