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Finding the Fourth Proportional to 771.75, 1,157.54 and 194.63

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Solution

The fourth proportional to 771.75, 1,157.54 and 194.63 is: 291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.75 : 1,157.54 = 194.63 : x
  2. Step 2: Convert to fraction form
    771.75/1,157.54 = 194.63/x
  3. Step 3: Cross multiply
    771.75x = 1,157.54 × 194.63
  4. Step 4: Simplify right side
    771.75x = 225,292.01
  5. Step 5: Solve for x
    x = 225,292.01/771.75
  6. Step 6: Final answer
    x = 291.92

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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.