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Finding the Fourth Proportional to 1,183.89, 1,633.77 and 659.91

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Solution

The fourth proportional to 1,183.89, 1,633.77 and 659.91 is: 910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.89 : 1,633.77 = 659.91 : x
  2. Step 2: Convert to fraction form
    1,183.89/1,633.77 = 659.91/x
  3. Step 3: Cross multiply
    1,183.89x = 1,633.77 × 659.91
  4. Step 4: Simplify right side
    1,183.89x = 1,078,141.16
  5. Step 5: Solve for x
    x = 1,078,141.16/1,183.89
  6. Step 6: Final answer
    x = 910.68

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