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Finding the Fourth Proportional to 681.98, 1,022.52 and 475.88

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Solution

The fourth proportional to 681.98, 1,022.52 and 475.88 is: 713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.98 : 1,022.52 = 475.88 : x
  2. Step 2: Convert to fraction form
    681.98/1,022.52 = 475.88/x
  3. Step 3: Cross multiply
    681.98x = 1,022.52 × 475.88
  4. Step 4: Simplify right side
    681.98x = 486,596.82
  5. Step 5: Solve for x
    x = 486,596.82/681.98
  6. Step 6: Final answer
    x = 713.51

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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.