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Finding the Fourth Proportional to 805.03, 1,105.20 and 769.49

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Solution

The fourth proportional to 805.03, 1,105.20 and 769.49 is: 1,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.03 : 1,105.20 = 769.49 : x
  2. Step 2: Convert to fraction form
    805.03/1,105.20 = 769.49/x
  3. Step 3: Cross multiply
    805.03x = 1,105.20 × 769.49
  4. Step 4: Simplify right side
    805.03x = 850,440.35
  5. Step 5: Solve for x
    x = 850,440.35/805.03
  6. Step 6: Final answer
    x = 1,056.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.