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Finding the Fourth Proportional to 767.75, 1,151.73 and 280.65

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Solution

The fourth proportional to 767.75, 1,151.73 and 280.65 is: 421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.75 : 1,151.73 = 280.65 : x
  2. Step 2: Convert to fraction form
    767.75/1,151.73 = 280.65/x
  3. Step 3: Cross multiply
    767.75x = 1,151.73 × 280.65
  4. Step 4: Simplify right side
    767.75x = 323,233.02
  5. Step 5: Solve for x
    x = 323,233.02/767.75
  6. Step 6: Final answer
    x = 421.01

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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.