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Finding the Fourth Proportional to 982.14, 1,471.84 and 738.38

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Solution

The fourth proportional to 982.14, 1,471.84 and 738.38 is: 1,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.14 : 1,471.84 = 738.38 : x
  2. Step 2: Convert to fraction form
    982.14/1,471.84 = 738.38/x
  3. Step 3: Cross multiply
    982.14x = 1,471.84 × 738.38
  4. Step 4: Simplify right side
    982.14x = 1,086,773.53
  5. Step 5: Solve for x
    x = 1,086,773.53/982.14
  6. Step 6: Final answer
    x = 1,106.54

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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.