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Finding the Fourth Proportional to 771.42, 1,157.33 and 223.65

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Solution

The fourth proportional to 771.42, 1,157.33 and 223.65 is: 335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.42 : 1,157.33 = 223.65 : x
  2. Step 2: Convert to fraction form
    771.42/1,157.33 = 223.65/x
  3. Step 3: Cross multiply
    771.42x = 1,157.33 × 223.65
  4. Step 4: Simplify right side
    771.42x = 258,835.74
  5. Step 5: Solve for x
    x = 258,835.74/771.42
  6. Step 6: Final answer
    x = 335.53

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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.