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Finding the Fourth Proportional to 981.94, 1,354.99 and 539.85

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Solution

The fourth proportional to 981.94, 1,354.99 and 539.85 is: 744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.94 : 1,354.99 = 539.85 : x
  2. Step 2: Convert to fraction form
    981.94/1,354.99 = 539.85/x
  3. Step 3: Cross multiply
    981.94x = 1,354.99 × 539.85
  4. Step 4: Simplify right side
    981.94x = 731,491.35
  5. Step 5: Solve for x
    x = 731,491.35/981.94
  6. Step 6: Final answer
    x = 744.95

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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.