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Finding the Fourth Proportional to 747.97, 1,121.14 and 713.46

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Solution

The fourth proportional to 747.97, 1,121.14 and 713.46 is: 1,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.97 : 1,121.14 = 713.46 : x
  2. Step 2: Convert to fraction form
    747.97/1,121.14 = 713.46/x
  3. Step 3: Cross multiply
    747.97x = 1,121.14 × 713.46
  4. Step 4: Simplify right side
    747.97x = 799,887.33
  5. Step 5: Solve for x
    x = 799,887.33/747.97
  6. Step 6: Final answer
    x = 1,069.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.