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Finding the Fourth Proportional to 1,231.46, 1,706.75 and 1,208.42

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Solution

The fourth proportional to 1,231.46, 1,706.75 and 1,208.42 is: 1,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.46 : 1,706.75 = 1,208.42 : x
  2. Step 2: Convert to fraction form
    1,231.46/1,706.75 = 1,208.42/x
  3. Step 3: Cross multiply
    1,231.46x = 1,706.75 × 1,208.42
  4. Step 4: Simplify right side
    1,231.46x = 2,062,470.84
  5. Step 5: Solve for x
    x = 2,062,470.84/1,231.46
  6. Step 6: Final answer
    x = 1,674.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.