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Finding the Fourth Proportional to 804.85, 1,206.69 and 544.12

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Solution

The fourth proportional to 804.85, 1,206.69 and 544.12 is: 815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.85 : 1,206.69 = 544.12 : x
  2. Step 2: Convert to fraction form
    804.85/1,206.69 = 544.12/x
  3. Step 3: Cross multiply
    804.85x = 1,206.69 × 544.12
  4. Step 4: Simplify right side
    804.85x = 656,584.16
  5. Step 5: Solve for x
    x = 656,584.16/804.85
  6. Step 6: Final answer
    x = 815.78

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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.