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Finding the Fourth Proportional to 789.37, 1,090.11 and 650.86

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Solution

The fourth proportional to 789.37, 1,090.11 and 650.86 is: 898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.37 : 1,090.11 = 650.86 : x
  2. Step 2: Convert to fraction form
    789.37/1,090.11 = 650.86/x
  3. Step 3: Cross multiply
    789.37x = 1,090.11 × 650.86
  4. Step 4: Simplify right side
    789.37x = 709,508.99
  5. Step 5: Solve for x
    x = 709,508.99/789.37
  6. Step 6: Final answer
    x = 898.83

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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.