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Finding the Fourth Proportional to 976.89, 1,347.79 and 682.05

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Solution

The fourth proportional to 976.89, 1,347.79 and 682.05 is: 941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.89 : 1,347.79 = 682.05 : x
  2. Step 2: Convert to fraction form
    976.89/1,347.79 = 682.05/x
  3. Step 3: Cross multiply
    976.89x = 1,347.79 × 682.05
  4. Step 4: Simplify right side
    976.89x = 919,260.17
  5. Step 5: Solve for x
    x = 919,260.17/976.89
  6. Step 6: Final answer
    x = 941.01

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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.