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Finding the Fourth Proportional to 681.20, 1,020.20 and 334.76

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Solution

The fourth proportional to 681.20, 1,020.20 and 334.76 is: 501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.20 : 1,020.20 = 334.76 : x
  2. Step 2: Convert to fraction form
    681.20/1,020.20 = 334.76/x
  3. Step 3: Cross multiply
    681.20x = 1,020.20 × 334.76
  4. Step 4: Simplify right side
    681.20x = 341,523.03
  5. Step 5: Solve for x
    x = 341,523.03/681.20
  6. Step 6: Final answer
    x = 501.36

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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.