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Finding the Fourth Proportional to 1,183.53, 1,775.17 and 361.83

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Solution

The fourth proportional to 1,183.53, 1,775.17 and 361.83 is: 542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.53 : 1,775.17 = 361.83 : x
  2. Step 2: Convert to fraction form
    1,183.53/1,775.17 = 361.83/x
  3. Step 3: Cross multiply
    1,183.53x = 1,775.17 × 361.83
  4. Step 4: Simplify right side
    1,183.53x = 642,309.76
  5. Step 5: Solve for x
    x = 642,309.76/1,183.53
  6. Step 6: Final answer
    x = 542.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.