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Finding the Fourth Proportional to 681.14, 1,022.15 and 678.62

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Solution

The fourth proportional to 681.14, 1,022.15 and 678.62 is: 1,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.14 : 1,022.15 = 678.62 : x
  2. Step 2: Convert to fraction form
    681.14/1,022.15 = 678.62/x
  3. Step 3: Cross multiply
    681.14x = 1,022.15 × 678.62
  4. Step 4: Simplify right side
    681.14x = 693,655.68
  5. Step 5: Solve for x
    x = 693,655.68/681.14
  6. Step 6: Final answer
    x = 1,018.37

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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.