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Finding the Fourth Proportional to 981.76, 1,354.87 and 539.68

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Solution

The fourth proportional to 981.76, 1,354.87 and 539.68 is: 744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.76 : 1,354.87 = 539.68 : x
  2. Step 2: Convert to fraction form
    981.76/1,354.87 = 539.68/x
  3. Step 3: Cross multiply
    981.76x = 1,354.87 × 539.68
  4. Step 4: Simplify right side
    981.76x = 731,196.24
  5. Step 5: Solve for x
    x = 731,196.24/981.76
  6. Step 6: Final answer
    x = 744.78

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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.