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Finding the Fourth Proportional to 976.25, 1,346.83 and 713.81

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Solution

The fourth proportional to 976.25, 1,346.83 and 713.81 is: 984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.25 : 1,346.83 = 713.81 : x
  2. Step 2: Convert to fraction form
    976.25/1,346.83 = 713.81/x
  3. Step 3: Cross multiply
    976.25x = 1,346.83 × 713.81
  4. Step 4: Simplify right side
    976.25x = 961,382.30
  5. Step 5: Solve for x
    x = 961,382.30/976.25
  6. Step 6: Final answer
    x = 984.77

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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.