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Finding the Fourth Proportional to 768.47, 1,151.80 and 443.17

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Solution

The fourth proportional to 768.47, 1,151.80 and 443.17 is: 664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.47 : 1,151.80 = 443.17 : x
  2. Step 2: Convert to fraction form
    768.47/1,151.80 = 443.17/x
  3. Step 3: Cross multiply
    768.47x = 1,151.80 × 443.17
  4. Step 4: Simplify right side
    768.47x = 510,439.22
  5. Step 5: Solve for x
    x = 510,439.22/768.47
  6. Step 6: Final answer
    x = 664.23

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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.