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Finding the Fourth Proportional to 823.94, 1,136.41 and 773.54

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Solution

The fourth proportional to 823.94, 1,136.41 and 773.54 is: 1,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.94 : 1,136.41 = 773.54 : x
  2. Step 2: Convert to fraction form
    823.94/1,136.41 = 773.54/x
  3. Step 3: Cross multiply
    823.94x = 1,136.41 × 773.54
  4. Step 4: Simplify right side
    823.94x = 879,058.59
  5. Step 5: Solve for x
    x = 879,058.59/823.94
  6. Step 6: Final answer
    x = 1,066.90

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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.