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Finding the Fourth Proportional to 981.43, 1,354.17 and 583.23

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Solution

The fourth proportional to 981.43, 1,354.17 and 583.23 is: 804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.43 : 1,354.17 = 583.23 : x
  2. Step 2: Convert to fraction form
    981.43/1,354.17 = 583.23/x
  3. Step 3: Cross multiply
    981.43x = 1,354.17 × 583.23
  4. Step 4: Simplify right side
    981.43x = 789,792.57
  5. Step 5: Solve for x
    x = 789,792.57/981.43
  6. Step 6: Final answer
    x = 804.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.