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Finding the Fourth Proportional to 1,103.43, 1,523.73 and 823.18

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Solution

The fourth proportional to 1,103.43, 1,523.73 and 823.18 is: 1,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.43 : 1,523.73 = 823.18 : x
  2. Step 2: Convert to fraction form
    1,103.43/1,523.73 = 823.18/x
  3. Step 3: Cross multiply
    1,103.43x = 1,523.73 × 823.18
  4. Step 4: Simplify right side
    1,103.43x = 1,254,301.97
  5. Step 5: Solve for x
    x = 1,254,301.97/1,103.43
  6. Step 6: Final answer
    x = 1,136.73

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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.