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Finding the Fourth Proportional to 981.33, 1,354.37 and 823.79

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Solution

The fourth proportional to 981.33, 1,354.37 and 823.79 is: 1,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.33 : 1,354.37 = 823.79 : x
  2. Step 2: Convert to fraction form
    981.33/1,354.37 = 823.79/x
  3. Step 3: Cross multiply
    981.33x = 1,354.37 × 823.79
  4. Step 4: Simplify right side
    981.33x = 1,115,705.57
  5. Step 5: Solve for x
    x = 1,115,705.57/981.33
  6. Step 6: Final answer
    x = 1,136.93

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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.