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Finding the Fourth Proportional to 984.75, 1,358.96 and 723.26

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Solution

The fourth proportional to 984.75, 1,358.96 and 723.26 is: 998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.75 : 1,358.96 = 723.26 : x
  2. Step 2: Convert to fraction form
    984.75/1,358.96 = 723.26/x
  3. Step 3: Cross multiply
    984.75x = 1,358.96 × 723.26
  4. Step 4: Simplify right side
    984.75x = 982,871.00
  5. Step 5: Solve for x
    x = 982,871.00/984.75
  6. Step 6: Final answer
    x = 998.09

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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.