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Finding the Fourth Proportional to 823.73, 1,240.44 and 594.23

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Solution

The fourth proportional to 823.73, 1,240.44 and 594.23 is: 894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.73 : 1,240.44 = 594.23 : x
  2. Step 2: Convert to fraction form
    823.73/1,240.44 = 594.23/x
  3. Step 3: Cross multiply
    823.73x = 1,240.44 × 594.23
  4. Step 4: Simplify right side
    823.73x = 737,109.76
  5. Step 5: Solve for x
    x = 737,109.76/823.73
  6. Step 6: Final answer
    x = 894.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.