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Finding the Fourth Proportional to 1,183.78, 1,633.97 and 686.64

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Solution

The fourth proportional to 1,183.78, 1,633.97 and 686.64 is: 947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.78 : 1,633.97 = 686.64 : x
  2. Step 2: Convert to fraction form
    1,183.78/1,633.97 = 686.64/x
  3. Step 3: Cross multiply
    1,183.78x = 1,633.97 × 686.64
  4. Step 4: Simplify right side
    1,183.78x = 1,121,945.73
  5. Step 5: Solve for x
    x = 1,121,945.73/1,183.78
  6. Step 6: Final answer
    x = 947.77

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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.