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Finding the Fourth Proportional to 1,183.49, 1,775.31 and 361.82

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Solution

The fourth proportional to 1,183.49, 1,775.31 and 361.82 is: 542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.49 : 1,775.31 = 361.82 : x
  2. Step 2: Convert to fraction form
    1,183.49/1,775.31 = 361.82/x
  3. Step 3: Cross multiply
    1,183.49x = 1,775.31 × 361.82
  4. Step 4: Simplify right side
    1,183.49x = 642,340.86
  5. Step 5: Solve for x
    x = 642,340.86/1,183.49
  6. Step 6: Final answer
    x = 542.75

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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.