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Finding the Fourth Proportional to 767.23, 1,149.83 and 279.81

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Solution

The fourth proportional to 767.23, 1,149.83 and 279.81 is: 419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.23 : 1,149.83 = 279.81 : x
  2. Step 2: Convert to fraction form
    767.23/1,149.83 = 279.81/x
  3. Step 3: Cross multiply
    767.23x = 1,149.83 × 279.81
  4. Step 4: Simplify right side
    767.23x = 321,733.93
  5. Step 5: Solve for x
    x = 321,733.93/767.23
  6. Step 6: Final answer
    x = 419.34

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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.