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Finding the Fourth Proportional to 1,331.44, 1,993.05 and 985.18

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Solution

The fourth proportional to 1,331.44, 1,993.05 and 985.18 is: 1,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.44 : 1,993.05 = 985.18 : x
  2. Step 2: Convert to fraction form
    1,331.44/1,993.05 = 985.18/x
  3. Step 3: Cross multiply
    1,331.44x = 1,993.05 × 985.18
  4. Step 4: Simplify right side
    1,331.44x = 1,963,513.00
  5. Step 5: Solve for x
    x = 1,963,513.00/1,331.44
  6. Step 6: Final answer
    x = 1,474.73

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Why These Related Problems?

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