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Finding the Fourth Proportional to 842.68, 1,263.41 and 568.09

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Solution

The fourth proportional to 842.68, 1,263.41 and 568.09 is: 851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.68 : 1,263.41 = 568.09 : x
  2. Step 2: Convert to fraction form
    842.68/1,263.41 = 568.09/x
  3. Step 3: Cross multiply
    842.68x = 1,263.41 × 568.09
  4. Step 4: Simplify right side
    842.68x = 717,721.43
  5. Step 5: Solve for x
    x = 717,721.43/842.68
  6. Step 6: Final answer
    x = 851.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.