Home / 1,383.18-1,908.31-823.42

Finding the Fourth Proportional to 1,383.18, 1,908.31 and 823.42

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Solution

The fourth proportional to 1,383.18, 1,908.31 and 823.42 is: 1,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.18 : 1,908.31 = 823.42 : x
  2. Step 2: Convert to fraction form
    1,383.18/1,908.31 = 823.42/x
  3. Step 3: Cross multiply
    1,383.18x = 1,908.31 × 823.42
  4. Step 4: Simplify right side
    1,383.18x = 1,571,331.76
  5. Step 5: Solve for x
    x = 1,571,331.76/1,383.18
  6. Step 6: Final answer
    x = 1,136.03

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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.