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Finding the Fourth Proportional to 1,226.20, 1,840.20 and 764.65

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Solution

The fourth proportional to 1,226.20, 1,840.20 and 764.65 is: 1,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.20 : 1,840.20 = 764.65 : x
  2. Step 2: Convert to fraction form
    1,226.20/1,840.20 = 764.65/x
  3. Step 3: Cross multiply
    1,226.20x = 1,840.20 × 764.65
  4. Step 4: Simplify right side
    1,226.20x = 1,407,108.93
  5. Step 5: Solve for x
    x = 1,407,108.93/1,226.20
  6. Step 6: Final answer
    x = 1,147.54

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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.