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Finding the Fourth Proportional to 1,243.73, 1,863.85 and 982.59

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Solution

The fourth proportional to 1,243.73, 1,863.85 and 982.59 is: 1,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.73 : 1,863.85 = 982.59 : x
  2. Step 2: Convert to fraction form
    1,243.73/1,863.85 = 982.59/x
  3. Step 3: Cross multiply
    1,243.73x = 1,863.85 × 982.59
  4. Step 4: Simplify right side
    1,243.73x = 1,831,400.37
  5. Step 5: Solve for x
    x = 1,831,400.37/1,243.73
  6. Step 6: Final answer
    x = 1,472.51

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1.5x scale

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.