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Finding the Fourth Proportional to 981.80, 1,354.80 and 539.62

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Solution

The fourth proportional to 981.80, 1,354.80 and 539.62 is: 744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.80 : 1,354.80 = 539.62 : x
  2. Step 2: Convert to fraction form
    981.80/1,354.80 = 539.62/x
  3. Step 3: Cross multiply
    981.80x = 1,354.80 × 539.62
  4. Step 4: Simplify right side
    981.80x = 731,077.18
  5. Step 5: Solve for x
    x = 731,077.18/981.80
  6. Step 6: Final answer
    x = 744.63

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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.