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Finding the Fourth Proportional to 981.63, 1,354.42 and 583.27

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Solution

The fourth proportional to 981.63, 1,354.42 and 583.27 is: 804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.63 : 1,354.42 = 583.27 : x
  2. Step 2: Convert to fraction form
    981.63/1,354.42 = 583.27/x
  3. Step 3: Cross multiply
    981.63x = 1,354.42 × 583.27
  4. Step 4: Simplify right side
    981.63x = 789,992.55
  5. Step 5: Solve for x
    x = 789,992.55/981.63
  6. Step 6: Final answer
    x = 804.78

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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.