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Finding the Fourth Proportional to 712.20, 982.49 and 613.79

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Solution

The fourth proportional to 712.20, 982.49 and 613.79 is: 846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.20 : 982.49 = 613.79 : x
  2. Step 2: Convert to fraction form
    712.20/982.49 = 613.79/x
  3. Step 3: Cross multiply
    712.20x = 982.49 × 613.79
  4. Step 4: Simplify right side
    712.20x = 603,034.56
  5. Step 5: Solve for x
    x = 603,034.56/712.20
  6. Step 6: Final answer
    x = 846.72

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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.