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Finding the Fourth Proportional to 674.76, 1,014.20 and 660.42

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Solution

The fourth proportional to 674.76, 1,014.20 and 660.42 is: 992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 1,014.20 = 660.42 : x
  2. Step 2: Convert to fraction form
    674.76/1,014.20 = 660.42/x
  3. Step 3: Cross multiply
    674.76x = 1,014.20 × 660.42
  4. Step 4: Simplify right side
    674.76x = 669,797.96
  5. Step 5: Solve for x
    x = 669,797.96/674.76
  6. Step 6: Final answer
    x = 992.65

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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.