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Finding the Fourth Proportional to 976.25, 1,346.60 and 681.41

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Solution

The fourth proportional to 976.25, 1,346.60 and 681.41 is: 939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.25 : 1,346.60 = 681.41 : x
  2. Step 2: Convert to fraction form
    976.25/1,346.60 = 681.41/x
  3. Step 3: Cross multiply
    976.25x = 1,346.60 × 681.41
  4. Step 4: Simplify right side
    976.25x = 917,586.71
  5. Step 5: Solve for x
    x = 917,586.71/976.25
  6. Step 6: Final answer
    x = 939.91

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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.