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Finding the Fourth Proportional to 823.49, 1,235.23 and 668.68

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Solution

The fourth proportional to 823.49, 1,235.23 and 668.68 is: 1,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.49 : 1,235.23 = 668.68 : x
  2. Step 2: Convert to fraction form
    823.49/1,235.23 = 668.68/x
  3. Step 3: Cross multiply
    823.49x = 1,235.23 × 668.68
  4. Step 4: Simplify right side
    823.49x = 825,973.60
  5. Step 5: Solve for x
    x = 825,973.60/823.49
  6. Step 6: Final answer
    x = 1,003.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.