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Finding the Fourth Proportional to 932.79, 1,399.41 and 659.42

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Solution

The fourth proportional to 932.79, 1,399.41 and 659.42 is: 989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.79 : 1,399.41 = 659.42 : x
  2. Step 2: Convert to fraction form
    932.79/1,399.41 = 659.42/x
  3. Step 3: Cross multiply
    932.79x = 1,399.41 × 659.42
  4. Step 4: Simplify right side
    932.79x = 922,791.95
  5. Step 5: Solve for x
    x = 922,791.95/932.79
  6. Step 6: Final answer
    x = 989.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.