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Finding the Fourth Proportional to 768.22, 1,060.14 and 418.91

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Solution

The fourth proportional to 768.22, 1,060.14 and 418.91 is: 578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.22 : 1,060.14 = 418.91 : x
  2. Step 2: Convert to fraction form
    768.22/1,060.14 = 418.91/x
  3. Step 3: Cross multiply
    768.22x = 1,060.14 × 418.91
  4. Step 4: Simplify right side
    768.22x = 444,103.25
  5. Step 5: Solve for x
    x = 444,103.25/768.22
  6. Step 6: Final answer
    x = 578.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.