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Finding the Fourth Proportional to 982.92, 1,472.70 and 519.71

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Solution

The fourth proportional to 982.92, 1,472.70 and 519.71 is: 778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.92 : 1,472.70 = 519.71 : x
  2. Step 2: Convert to fraction form
    982.92/1,472.70 = 519.71/x
  3. Step 3: Cross multiply
    982.92x = 1,472.70 × 519.71
  4. Step 4: Simplify right side
    982.92x = 765,369.55
  5. Step 5: Solve for x
    x = 765,369.55/982.92
  6. Step 6: Final answer
    x = 778.67

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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.