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Finding the Fourth Proportional to 767.85, 1,152.09 and 443.49

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Solution

The fourth proportional to 767.85, 1,152.09 and 443.49 is: 665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.85 : 1,152.09 = 443.49 : x
  2. Step 2: Convert to fraction form
    767.85/1,152.09 = 443.49/x
  3. Step 3: Cross multiply
    767.85x = 1,152.09 × 443.49
  4. Step 4: Simplify right side
    767.85x = 510,940.39
  5. Step 5: Solve for x
    x = 510,940.39/767.85
  6. Step 6: Final answer
    x = 665.42

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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.