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Finding the Fourth Proportional to 771.12, 1,157.09 and 406.62

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Solution

The fourth proportional to 771.12, 1,157.09 and 406.62 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.12 : 1,157.09 = 406.62 : x
  2. Step 2: Convert to fraction form
    771.12/1,157.09 = 406.62/x
  3. Step 3: Cross multiply
    771.12x = 1,157.09 × 406.62
  4. Step 4: Simplify right side
    771.12x = 470,493.90
  5. Step 5: Solve for x
    x = 470,493.90/771.12
  6. Step 6: Final answer
    x = 610.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.