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Finding the Fourth Proportional to 982.62, 1,355.83 and 650.92

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Solution

The fourth proportional to 982.62, 1,355.83 and 650.92 is: 898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.62 : 1,355.83 = 650.92 : x
  2. Step 2: Convert to fraction form
    982.62/1,355.83 = 650.92/x
  3. Step 3: Cross multiply
    982.62x = 1,355.83 × 650.92
  4. Step 4: Simplify right side
    982.62x = 882,536.86
  5. Step 5: Solve for x
    x = 882,536.86/982.62
  6. Step 6: Final answer
    x = 898.15

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Why These Related Problems?

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