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Finding the Fourth Proportional to 1,236.27, 1,706.06 and 676.73

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Solution

The fourth proportional to 1,236.27, 1,706.06 and 676.73 is: 933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.27 : 1,706.06 = 676.73 : x
  2. Step 2: Convert to fraction form
    1,236.27/1,706.06 = 676.73/x
  3. Step 3: Cross multiply
    1,236.27x = 1,706.06 × 676.73
  4. Step 4: Simplify right side
    1,236.27x = 1,154,530.07
  5. Step 5: Solve for x
    x = 1,154,530.07/1,236.27
  6. Step 6: Final answer
    x = 933.88

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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.