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Finding the Fourth Proportional to 771.42, 1,157.04 and 194.25

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Solution

The fourth proportional to 771.42, 1,157.04 and 194.25 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.42 : 1,157.04 = 194.25 : x
  2. Step 2: Convert to fraction form
    771.42/1,157.04 = 194.25/x
  3. Step 3: Cross multiply
    771.42x = 1,157.04 × 194.25
  4. Step 4: Simplify right side
    771.42x = 224,755.02
  5. Step 5: Solve for x
    x = 224,755.02/771.42
  6. Step 6: Final answer
    x = 291.35

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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.