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Finding the Fourth Proportional to 771.53, 1,157.04 and 223.73

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Solution

The fourth proportional to 771.53, 1,157.04 and 223.73 is: 335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.53 : 1,157.04 = 223.73 : x
  2. Step 2: Convert to fraction form
    771.53/1,157.04 = 223.73/x
  3. Step 3: Cross multiply
    771.53x = 1,157.04 × 223.73
  4. Step 4: Simplify right side
    771.53x = 258,864.56
  5. Step 5: Solve for x
    x = 258,864.56/771.53
  6. Step 6: Final answer
    x = 335.52

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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.