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Finding the Fourth Proportional to 964.18, 1,331.06 and 668.94

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Solution

The fourth proportional to 964.18, 1,331.06 and 668.94 is: 923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.18 : 1,331.06 = 668.94 : x
  2. Step 2: Convert to fraction form
    964.18/1,331.06 = 668.94/x
  3. Step 3: Cross multiply
    964.18x = 1,331.06 × 668.94
  4. Step 4: Simplify right side
    964.18x = 890,399.28
  5. Step 5: Solve for x
    x = 890,399.28/964.18
  6. Step 6: Final answer
    x = 923.48

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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.