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Finding the Fourth Proportional to 1,273.06, 1,756.89 and 713.66

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Solution

The fourth proportional to 1,273.06, 1,756.89 and 713.66 is: 984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.06 : 1,756.89 = 713.66 : x
  2. Step 2: Convert to fraction form
    1,273.06/1,756.89 = 713.66/x
  3. Step 3: Cross multiply
    1,273.06x = 1,756.89 × 713.66
  4. Step 4: Simplify right side
    1,273.06x = 1,253,813.33
  5. Step 5: Solve for x
    x = 1,253,813.33/1,273.06
  6. Step 6: Final answer
    x = 984.88

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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.