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Finding the Fourth Proportional to 1,183.82, 1,775.73 and 362.09

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Solution

The fourth proportional to 1,183.82, 1,775.73 and 362.09 is: 543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.82 : 1,775.73 = 362.09 : x
  2. Step 2: Convert to fraction form
    1,183.82/1,775.73 = 362.09/x
  3. Step 3: Cross multiply
    1,183.82x = 1,775.73 × 362.09
  4. Step 4: Simplify right side
    1,183.82x = 642,979.87
  5. Step 5: Solve for x
    x = 642,979.87/1,183.82
  6. Step 6: Final answer
    x = 543.14

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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.