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Finding the Fourth Proportional to 1,183.66, 1,633.44 and 686.46

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Solution

The fourth proportional to 1,183.66, 1,633.44 and 686.46 is: 947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.66 : 1,633.44 = 686.46 : x
  2. Step 2: Convert to fraction form
    1,183.66/1,633.44 = 686.46/x
  3. Step 3: Cross multiply
    1,183.66x = 1,633.44 × 686.46
  4. Step 4: Simplify right side
    1,183.66x = 1,121,291.22
  5. Step 5: Solve for x
    x = 1,121,291.22/1,183.66
  6. Step 6: Final answer
    x = 947.31

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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.