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Finding the Fourth Proportional to 668.76, 922.86 and 494.52

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Solution

The fourth proportional to 668.76, 922.86 and 494.52 is: 682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.76 : 922.86 = 494.52 : x
  2. Step 2: Convert to fraction form
    668.76/922.86 = 494.52/x
  3. Step 3: Cross multiply
    668.76x = 922.86 × 494.52
  4. Step 4: Simplify right side
    668.76x = 456,372.73
  5. Step 5: Solve for x
    x = 456,372.73/668.76
  6. Step 6: Final answer
    x = 682.42

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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.