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Finding the Fourth Proportional to 1,208.95, 1,812.21 and 660.00

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Solution

The fourth proportional to 1,208.95, 1,812.21 and 660.00 is: 989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.95 : 1,812.21 = 660.00 : x
  2. Step 2: Convert to fraction form
    1,208.95/1,812.21 = 660.00/x
  3. Step 3: Cross multiply
    1,208.95x = 1,812.21 × 660.00
  4. Step 4: Simplify right side
    1,208.95x = 1,196,049.54
  5. Step 5: Solve for x
    x = 1,196,049.54/1,208.95
  6. Step 6: Final answer
    x = 989.33

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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.