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Finding the Fourth Proportional to 981.75, 1,354.86 and 539.69

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Solution

The fourth proportional to 981.75, 1,354.86 and 539.69 is: 744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.75 : 1,354.86 = 539.69 : x
  2. Step 2: Convert to fraction form
    981.75/1,354.86 = 539.69/x
  3. Step 3: Cross multiply
    981.75x = 1,354.86 × 539.69
  4. Step 4: Simplify right side
    981.75x = 731,204.39
  5. Step 5: Solve for x
    x = 731,204.39/981.75
  6. Step 6: Final answer
    x = 744.80

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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.