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Finding the Fourth Proportional to 771.42, 1,157.14 and 194.32

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Solution

The fourth proportional to 771.42, 1,157.14 and 194.32 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.42 : 1,157.14 = 194.32 : x
  2. Step 2: Convert to fraction form
    771.42/1,157.14 = 194.32/x
  3. Step 3: Cross multiply
    771.42x = 1,157.14 × 194.32
  4. Step 4: Simplify right side
    771.42x = 224,855.44
  5. Step 5: Solve for x
    x = 224,855.44/771.42
  6. Step 6: Final answer
    x = 291.48

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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.