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Finding the Fourth Proportional to 850.78, 1,276.56 and 504.80

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Solution

The fourth proportional to 850.78, 1,276.56 and 504.80 is: 757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.78 : 1,276.56 = 504.80 : x
  2. Step 2: Convert to fraction form
    850.78/1,276.56 = 504.80/x
  3. Step 3: Cross multiply
    850.78x = 1,276.56 × 504.80
  4. Step 4: Simplify right side
    850.78x = 644,407.49
  5. Step 5: Solve for x
    x = 644,407.49/850.78
  6. Step 6: Final answer
    x = 757.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.