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Finding the Fourth Proportional to 1,183.07, 1,774.70 and 361.92

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Solution

The fourth proportional to 1,183.07, 1,774.70 and 361.92 is: 542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.07 : 1,774.70 = 361.92 : x
  2. Step 2: Convert to fraction form
    1,183.07/1,774.70 = 361.92/x
  3. Step 3: Cross multiply
    1,183.07x = 1,774.70 × 361.92
  4. Step 4: Simplify right side
    1,183.07x = 642,295.14
  5. Step 5: Solve for x
    x = 642,295.14/1,183.07
  6. Step 6: Final answer
    x = 542.91

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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.