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Finding the Fourth Proportional to 1,183.50, 1,633.23 and 659.58

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Solution

The fourth proportional to 1,183.50, 1,633.23 and 659.58 is: 910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.50 : 1,633.23 = 659.58 : x
  2. Step 2: Convert to fraction form
    1,183.50/1,633.23 = 659.58/x
  3. Step 3: Cross multiply
    1,183.50x = 1,633.23 × 659.58
  4. Step 4: Simplify right side
    1,183.50x = 1,077,245.84
  5. Step 5: Solve for x
    x = 1,077,245.84/1,183.50
  6. Step 6: Final answer
    x = 910.22

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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.