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Finding the Fourth Proportional to 842.30, 1,262.67 and 568.47

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Solution

The fourth proportional to 842.30, 1,262.67 and 568.47 is: 852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.30 : 1,262.67 = 568.47 : x
  2. Step 2: Convert to fraction form
    842.30/1,262.67 = 568.47/x
  3. Step 3: Cross multiply
    842.30x = 1,262.67 × 568.47
  4. Step 4: Simplify right side
    842.30x = 717,790.01
  5. Step 5: Solve for x
    x = 717,790.01/842.30
  6. Step 6: Final answer
    x = 852.18

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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.