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Finding the Fourth Proportional to 981.34, 1,354.17 and 539.23

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Solution

The fourth proportional to 981.34, 1,354.17 and 539.23 is: 744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.34 : 1,354.17 = 539.23 : x
  2. Step 2: Convert to fraction form
    981.34/1,354.17 = 539.23/x
  3. Step 3: Cross multiply
    981.34x = 1,354.17 × 539.23
  4. Step 4: Simplify right side
    981.34x = 730,209.09
  5. Step 5: Solve for x
    x = 730,209.09/981.34
  6. Step 6: Final answer
    x = 744.09

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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.