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Finding the Fourth Proportional to 1,183.16, 1,632.78 and 659.22

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Solution

The fourth proportional to 1,183.16, 1,632.78 and 659.22 is: 909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.16 : 1,632.78 = 659.22 : x
  2. Step 2: Convert to fraction form
    1,183.16/1,632.78 = 659.22/x
  3. Step 3: Cross multiply
    1,183.16x = 1,632.78 × 659.22
  4. Step 4: Simplify right side
    1,183.16x = 1,076,361.23
  5. Step 5: Solve for x
    x = 1,076,361.23/1,183.16
  6. Step 6: Final answer
    x = 909.73

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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.