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Finding the Fourth Proportional to 771.37, 1,157.54 and 406.42

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Solution

The fourth proportional to 771.37, 1,157.54 and 406.42 is: 609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.37 : 1,157.54 = 406.42 : x
  2. Step 2: Convert to fraction form
    771.37/1,157.54 = 406.42/x
  3. Step 3: Cross multiply
    771.37x = 1,157.54 × 406.42
  4. Step 4: Simplify right side
    771.37x = 470,442.48
  5. Step 5: Solve for x
    x = 470,442.48/771.37
  6. Step 6: Final answer
    x = 609.88

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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.