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Finding the Fourth Proportional to 1,183.28, 1,632.78 and 685.74

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Solution

The fourth proportional to 1,183.28, 1,632.78 and 685.74 is: 946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.28 : 1,632.78 = 685.74 : x
  2. Step 2: Convert to fraction form
    1,183.28/1,632.78 = 685.74/x
  3. Step 3: Cross multiply
    1,183.28x = 1,632.78 × 685.74
  4. Step 4: Simplify right side
    1,183.28x = 1,119,662.56
  5. Step 5: Solve for x
    x = 1,119,662.56/1,183.28
  6. Step 6: Final answer
    x = 946.24

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1.5x scale

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.