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Finding the Fourth Proportional to 1,183.39, 1,634.11 and 742.05

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Solution

The fourth proportional to 1,183.39, 1,634.11 and 742.05 is: 1,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.39 : 1,634.11 = 742.05 : x
  2. Step 2: Convert to fraction form
    1,183.39/1,634.11 = 742.05/x
  3. Step 3: Cross multiply
    1,183.39x = 1,634.11 × 742.05
  4. Step 4: Simplify right side
    1,183.39x = 1,212,589.47
  5. Step 5: Solve for x
    x = 1,212,589.47/1,183.39
  6. Step 6: Final answer
    x = 1,024.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.