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Finding the Fourth Proportional to 681.83, 1,022.31 and 292.09

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Solution

The fourth proportional to 681.83, 1,022.31 and 292.09 is: 437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.83 : 1,022.31 = 292.09 : x
  2. Step 2: Convert to fraction form
    681.83/1,022.31 = 292.09/x
  3. Step 3: Cross multiply
    681.83x = 1,022.31 × 292.09
  4. Step 4: Simplify right side
    681.83x = 298,603.97
  5. Step 5: Solve for x
    x = 298,603.97/681.83
  6. Step 6: Final answer
    x = 437.94

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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.