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Finding the Fourth Proportional to 681.14, 1,022.57 and 334.81

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Solution

The fourth proportional to 681.14, 1,022.57 and 334.81 is: 502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.14 : 1,022.57 = 334.81 : x
  2. Step 2: Convert to fraction form
    681.14/1,022.57 = 334.81/x
  3. Step 3: Cross multiply
    681.14x = 1,022.57 × 334.81
  4. Step 4: Simplify right side
    681.14x = 342,367.52
  5. Step 5: Solve for x
    x = 342,367.52/681.14
  6. Step 6: Final answer
    x = 502.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.