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Finding the Fourth Proportional to 1,183.23, 1,632.87 and 659.25

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Solution

The fourth proportional to 1,183.23, 1,632.87 and 659.25 is: 909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.23 : 1,632.87 = 659.25 : x
  2. Step 2: Convert to fraction form
    1,183.23/1,632.87 = 659.25/x
  3. Step 3: Cross multiply
    1,183.23x = 1,632.87 × 659.25
  4. Step 4: Simplify right side
    1,183.23x = 1,076,469.55
  5. Step 5: Solve for x
    x = 1,076,469.55/1,183.23
  6. Step 6: Final answer
    x = 909.77

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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.