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Finding the Fourth Proportional to 981.44, 1,354.41 and 539.37

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Solution

The fourth proportional to 981.44, 1,354.41 and 539.37 is: 744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.44 : 1,354.41 = 539.37 : x
  2. Step 2: Convert to fraction form
    981.44/1,354.41 = 539.37/x
  3. Step 3: Cross multiply
    981.44x = 1,354.41 × 539.37
  4. Step 4: Simplify right side
    981.44x = 730,528.12
  5. Step 5: Solve for x
    x = 730,528.12/981.44
  6. Step 6: Final answer
    x = 744.34

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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.