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Finding the Fourth Proportional to 989.95, 1,367.21 and 659.78

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Solution

The fourth proportional to 989.95, 1,367.21 and 659.78 is: 911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.95 : 1,367.21 = 659.78 : x
  2. Step 2: Convert to fraction form
    989.95/1,367.21 = 659.78/x
  3. Step 3: Cross multiply
    989.95x = 1,367.21 × 659.78
  4. Step 4: Simplify right side
    989.95x = 902,047.68
  5. Step 5: Solve for x
    x = 902,047.68/989.95
  6. Step 6: Final answer
    x = 911.21

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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.