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Finding the Fourth Proportional to 771.34, 1,157.02 and 194.22

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Solution

The fourth proportional to 771.34, 1,157.02 and 194.22 is: 291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.34 : 1,157.02 = 194.22 : x
  2. Step 2: Convert to fraction form
    771.34/1,157.02 = 194.22/x
  3. Step 3: Cross multiply
    771.34x = 1,157.02 × 194.22
  4. Step 4: Simplify right side
    771.34x = 224,716.42
  5. Step 5: Solve for x
    x = 224,716.42/771.34
  6. Step 6: Final answer
    x = 291.33

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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.