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Finding the Fourth Proportional to 1,272.80, 1,756.39 and 713.23

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Solution

The fourth proportional to 1,272.80, 1,756.39 and 713.23 is: 984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.80 : 1,756.39 = 713.23 : x
  2. Step 2: Convert to fraction form
    1,272.80/1,756.39 = 713.23/x
  3. Step 3: Cross multiply
    1,272.80x = 1,756.39 × 713.23
  4. Step 4: Simplify right side
    1,272.80x = 1,252,710.04
  5. Step 5: Solve for x
    x = 1,252,710.04/1,272.80
  6. Step 6: Final answer
    x = 984.22

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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.