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Finding the Fourth Proportional to 1,183.64, 1,633.42 and 686.57

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Solution

The fourth proportional to 1,183.64, 1,633.42 and 686.57 is: 947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.64 : 1,633.42 = 686.57 : x
  2. Step 2: Convert to fraction form
    1,183.64/1,633.42 = 686.57/x
  3. Step 3: Cross multiply
    1,183.64x = 1,633.42 × 686.57
  4. Step 4: Simplify right side
    1,183.64x = 1,121,453.09
  5. Step 5: Solve for x
    x = 1,121,453.09/1,183.64
  6. Step 6: Final answer
    x = 947.46

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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.