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Finding the Fourth Proportional to 771.57, 1,157.55 and 406.26

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Solution

The fourth proportional to 771.57, 1,157.55 and 406.26 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.57 : 1,157.55 = 406.26 : x
  2. Step 2: Convert to fraction form
    771.57/1,157.55 = 406.26/x
  3. Step 3: Cross multiply
    771.57x = 1,157.55 × 406.26
  4. Step 4: Simplify right side
    771.57x = 470,266.26
  5. Step 5: Solve for x
    x = 470,266.26/771.57
  6. Step 6: Final answer
    x = 609.49

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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.