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Finding the Fourth Proportional to 767.84, 1,151.82 and 305.73

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Solution

The fourth proportional to 767.84, 1,151.82 and 305.73 is: 458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.84 : 1,151.82 = 305.73 : x
  2. Step 2: Convert to fraction form
    767.84/1,151.82 = 305.73/x
  3. Step 3: Cross multiply
    767.84x = 1,151.82 × 305.73
  4. Step 4: Simplify right side
    767.84x = 352,145.93
  5. Step 5: Solve for x
    x = 352,145.93/767.84
  6. Step 6: Final answer
    x = 458.62

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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.