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Finding the Fourth Proportional to 681.43, 1,022.16 and 242.75

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Solution

The fourth proportional to 681.43, 1,022.16 and 242.75 is: 364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.43 : 1,022.16 = 242.75 : x
  2. Step 2: Convert to fraction form
    681.43/1,022.16 = 242.75/x
  3. Step 3: Cross multiply
    681.43x = 1,022.16 × 242.75
  4. Step 4: Simplify right side
    681.43x = 248,124.23
  5. Step 5: Solve for x
    x = 248,124.23/681.43
  6. Step 6: Final answer
    x = 364.12

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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.