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Finding the Fourth Proportional to 1,183.13, 1,632.65 and 659.13

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Solution

The fourth proportional to 1,183.13, 1,632.65 and 659.13 is: 909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.13 : 1,632.65 = 659.13 : x
  2. Step 2: Convert to fraction form
    1,183.13/1,632.65 = 659.13/x
  3. Step 3: Cross multiply
    1,183.13x = 1,632.65 × 659.13
  4. Step 4: Simplify right side
    1,183.13x = 1,076,128.59
  5. Step 5: Solve for x
    x = 1,076,128.59/1,183.13
  6. Step 6: Final answer
    x = 909.56

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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.