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Finding the Fourth Proportional to 823.93, 1,235.90 and 246.80

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Solution

The fourth proportional to 823.93, 1,235.90 and 246.80 is: 370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.93 : 1,235.90 = 246.80 : x
  2. Step 2: Convert to fraction form
    823.93/1,235.90 = 246.80/x
  3. Step 3: Cross multiply
    823.93x = 1,235.90 × 246.80
  4. Step 4: Simplify right side
    823.93x = 305,020.12
  5. Step 5: Solve for x
    x = 305,020.12/823.93
  6. Step 6: Final answer
    x = 370.20

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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.