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Finding the Fourth Proportional to 681.42, 1,022.13 and 334.56

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Solution

The fourth proportional to 681.42, 1,022.13 and 334.56 is: 501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.42 : 1,022.13 = 334.56 : x
  2. Step 2: Convert to fraction form
    681.42/1,022.13 = 334.56/x
  3. Step 3: Cross multiply
    681.42x = 1,022.13 × 334.56
  4. Step 4: Simplify right side
    681.42x = 341,963.81
  5. Step 5: Solve for x
    x = 341,963.81/681.42
  6. Step 6: Final answer
    x = 501.84

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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.