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Finding the Fourth Proportional to 771.14, 1,157.25 and 338.42

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Solution

The fourth proportional to 771.14, 1,157.25 and 338.42 is: 507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.14 : 1,157.25 = 338.42 : x
  2. Step 2: Convert to fraction form
    771.14/1,157.25 = 338.42/x
  3. Step 3: Cross multiply
    771.14x = 1,157.25 × 338.42
  4. Step 4: Simplify right side
    771.14x = 391,636.55
  5. Step 5: Solve for x
    x = 391,636.55/771.14
  6. Step 6: Final answer
    x = 507.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.