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Finding the Fourth Proportional to 1,273.11, 1,756.79 and 713.53

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Solution

The fourth proportional to 1,273.11, 1,756.79 and 713.53 is: 984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.11 : 1,756.79 = 713.53 : x
  2. Step 2: Convert to fraction form
    1,273.11/1,756.79 = 713.53/x
  3. Step 3: Cross multiply
    1,273.11x = 1,756.79 × 713.53
  4. Step 4: Simplify right side
    1,273.11x = 1,253,518.80
  5. Step 5: Solve for x
    x = 1,253,518.80/1,273.11
  6. Step 6: Final answer
    x = 984.62

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