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Finding the Fourth Proportional to 1,183.97, 1,633.81 and 652.83

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Solution

The fourth proportional to 1,183.97, 1,633.81 and 652.83 is: 900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.97 : 1,633.81 = 652.83 : x
  2. Step 2: Convert to fraction form
    1,183.97/1,633.81 = 652.83/x
  3. Step 3: Cross multiply
    1,183.97x = 1,633.81 × 652.83
  4. Step 4: Simplify right side
    1,183.97x = 1,066,601.00
  5. Step 5: Solve for x
    x = 1,066,601.00/1,183.97
  6. Step 6: Final answer
    x = 900.87

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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.