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Finding the Fourth Proportional to 771.38, 1,157.54 and 406.43

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Solution

The fourth proportional to 771.38, 1,157.54 and 406.43 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,157.54 = 406.43 : x
  2. Step 2: Convert to fraction form
    771.38/1,157.54 = 406.43/x
  3. Step 3: Cross multiply
    771.38x = 1,157.54 × 406.43
  4. Step 4: Simplify right side
    771.38x = 470,451.16
  5. Step 5: Solve for x
    x = 470,451.16/771.38
  6. Step 6: Final answer
    x = 609.89

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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.