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Finding the Fourth Proportional to 771.30, 1,157.27 and 406.41

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Solution

The fourth proportional to 771.30, 1,157.27 and 406.41 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,157.27 = 406.41 : x
  2. Step 2: Convert to fraction form
    771.30/1,157.27 = 406.41/x
  3. Step 3: Cross multiply
    771.30x = 1,157.27 × 406.41
  4. Step 4: Simplify right side
    771.30x = 470,324.07
  5. Step 5: Solve for x
    x = 470,324.07/771.30
  6. Step 6: Final answer
    x = 609.78

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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.