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Finding the Fourth Proportional to 1,236.72, 1,706.54 and 739.29

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Solution

The fourth proportional to 1,236.72, 1,706.54 and 739.29 is: 1,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.72 : 1,706.54 = 739.29 : x
  2. Step 2: Convert to fraction form
    1,236.72/1,706.54 = 739.29/x
  3. Step 3: Cross multiply
    1,236.72x = 1,706.54 × 739.29
  4. Step 4: Simplify right side
    1,236.72x = 1,261,627.96
  5. Step 5: Solve for x
    x = 1,261,627.96/1,236.72
  6. Step 6: Final answer
    x = 1,020.14

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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.