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Finding the Fourth Proportional to 981.76, 1,354.81 and 539.66

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Solution

The fourth proportional to 981.76, 1,354.81 and 539.66 is: 744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.76 : 1,354.81 = 539.66 : x
  2. Step 2: Convert to fraction form
    981.76/1,354.81 = 539.66/x
  3. Step 3: Cross multiply
    981.76x = 1,354.81 × 539.66
  4. Step 4: Simplify right side
    981.76x = 731,136.76
  5. Step 5: Solve for x
    x = 731,136.76/981.76
  6. Step 6: Final answer
    x = 744.72

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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.