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Finding the Fourth Proportional to 839.85, 1,253.42 and 817.98

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Solution

The fourth proportional to 839.85, 1,253.42 and 817.98 is: 1,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.85 : 1,253.42 = 817.98 : x
  2. Step 2: Convert to fraction form
    839.85/1,253.42 = 817.98/x
  3. Step 3: Cross multiply
    839.85x = 1,253.42 × 817.98
  4. Step 4: Simplify right side
    839.85x = 1,025,272.59
  5. Step 5: Solve for x
    x = 1,025,272.59/839.85
  6. Step 6: Final answer
    x = 1,220.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.