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Finding the Fourth Proportional to 1,314.43, 1,814.04 and 982.27

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Solution

The fourth proportional to 1,314.43, 1,814.04 and 982.27 is: 1,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.43 : 1,814.04 = 982.27 : x
  2. Step 2: Convert to fraction form
    1,314.43/1,814.04 = 982.27/x
  3. Step 3: Cross multiply
    1,314.43x = 1,814.04 × 982.27
  4. Step 4: Simplify right side
    1,314.43x = 1,781,877.07
  5. Step 5: Solve for x
    x = 1,781,877.07/1,314.43
  6. Step 6: Final answer
    x = 1,355.63

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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.