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Finding the Fourth Proportional to 1,205.94, 1,664.23 and 682

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Solution

The fourth proportional to 1,205.94, 1,664.23 and 682 is: 941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.94 : 1,664.23 = 682 : x
  2. Step 2: Convert to fraction form
    1,205.94/1,664.23 = 682/x
  3. Step 3: Cross multiply
    1,205.94x = 1,664.23 × 682
  4. Step 4: Simplify right side
    1,205.94x = 1,135,001.45
  5. Step 5: Solve for x
    x = 1,135,001.45/1,205.94
  6. Step 6: Final answer
    x = 941.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.