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Finding the Fourth Proportional to 771.49, 1,157.19 and 338.50

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Solution

The fourth proportional to 771.49, 1,157.19 and 338.50 is: 507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.49 : 1,157.19 = 338.50 : x
  2. Step 2: Convert to fraction form
    771.49/1,157.19 = 338.50/x
  3. Step 3: Cross multiply
    771.49x = 1,157.19 × 338.50
  4. Step 4: Simplify right side
    771.49x = 391,708.82
  5. Step 5: Solve for x
    x = 391,708.82/771.49
  6. Step 6: Final answer
    x = 507.73

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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.