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Finding the Fourth Proportional to 681, 1,022.10 and 356.52

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Solution

The fourth proportional to 681, 1,022.10 and 356.52 is: 535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    681 : 1,022.10 = 356.52 : x
  2. Step 2: Convert to fraction form
    681/1,022.10 = 356.52/x
  3. Step 3: Cross multiply
    681x = 1,022.10 × 356.52
  4. Step 4: Simplify right side
    681x = 364,399.09
  5. Step 5: Solve for x
    x = 364,399.09/681
  6. Step 6: Final answer
    x = 535.09

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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.