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Finding the Fourth Proportional to 786.98, 1,177.94 and 713.14

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Solution

The fourth proportional to 786.98, 1,177.94 and 713.14 is: 1,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.98 : 1,177.94 = 713.14 : x
  2. Step 2: Convert to fraction form
    786.98/1,177.94 = 713.14/x
  3. Step 3: Cross multiply
    786.98x = 1,177.94 × 713.14
  4. Step 4: Simplify right side
    786.98x = 840,034.97
  5. Step 5: Solve for x
    x = 840,034.97/786.98
  6. Step 6: Final answer
    x = 1,067.41

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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.