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Finding the Fourth Proportional to 893.11, 1,231.79 and 682.75

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Solution

The fourth proportional to 893.11, 1,231.79 and 682.75 is: 941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.11 : 1,231.79 = 682.75 : x
  2. Step 2: Convert to fraction form
    893.11/1,231.79 = 682.75/x
  3. Step 3: Cross multiply
    893.11x = 1,231.79 × 682.75
  4. Step 4: Simplify right side
    893.11x = 841,009.41
  5. Step 5: Solve for x
    x = 841,009.41/893.11
  6. Step 6: Final answer
    x = 941.67

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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.