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Finding the Fourth Proportional to 771.55, 1,157.64 and 406.66

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Solution

The fourth proportional to 771.55, 1,157.64 and 406.66 is: 610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.55 : 1,157.64 = 406.66 : x
  2. Step 2: Convert to fraction form
    771.55/1,157.64 = 406.66/x
  3. Step 3: Cross multiply
    771.55x = 1,157.64 × 406.66
  4. Step 4: Simplify right side
    771.55x = 470,765.88
  5. Step 5: Solve for x
    x = 470,765.88/771.55
  6. Step 6: Final answer
    x = 610.16

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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.