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Finding the Fourth Proportional to 768.09, 1,059.98 and 418.78

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Solution

The fourth proportional to 768.09, 1,059.98 and 418.78 is: 577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.09 : 1,059.98 = 418.78 : x
  2. Step 2: Convert to fraction form
    768.09/1,059.98 = 418.78/x
  3. Step 3: Cross multiply
    768.09x = 1,059.98 × 418.78
  4. Step 4: Simplify right side
    768.09x = 443,897.66
  5. Step 5: Solve for x
    x = 443,897.66/768.09
  6. Step 6: Final answer
    x = 577.92

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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.