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Finding the Fourth Proportional to 961.81, 1,327.44 and 712.78

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Solution

The fourth proportional to 961.81, 1,327.44 and 712.78 is: 983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.81 : 1,327.44 = 712.78 : x
  2. Step 2: Convert to fraction form
    961.81/1,327.44 = 712.78/x
  3. Step 3: Cross multiply
    961.81x = 1,327.44 × 712.78
  4. Step 4: Simplify right side
    961.81x = 946,172.68
  5. Step 5: Solve for x
    x = 946,172.68/961.81
  6. Step 6: Final answer
    x = 983.74

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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.