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Finding the Fourth Proportional to 981.44, 1,470.18 and 493.82

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Solution

The fourth proportional to 981.44, 1,470.18 and 493.82 is: 739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.44 : 1,470.18 = 493.82 : x
  2. Step 2: Convert to fraction form
    981.44/1,470.18 = 493.82/x
  3. Step 3: Cross multiply
    981.44x = 1,470.18 × 493.82
  4. Step 4: Simplify right side
    981.44x = 726,004.29
  5. Step 5: Solve for x
    x = 726,004.29/981.44
  6. Step 6: Final answer
    x = 739.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.