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Finding the Fourth Proportional to 842.75, 1,162.96 and 493.43

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Solution

The fourth proportional to 842.75, 1,162.96 and 493.43 is: 680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.75 : 1,162.96 = 493.43 : x
  2. Step 2: Convert to fraction form
    842.75/1,162.96 = 493.43/x
  3. Step 3: Cross multiply
    842.75x = 1,162.96 × 493.43
  4. Step 4: Simplify right side
    842.75x = 573,831.07
  5. Step 5: Solve for x
    x = 573,831.07/842.75
  6. Step 6: Final answer
    x = 680.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.