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Finding the Fourth Proportional to 823.03, 1,234.78 and 275.57

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Solution

The fourth proportional to 823.03, 1,234.78 and 275.57 is: 413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.03 : 1,234.78 = 275.57 : x
  2. Step 2: Convert to fraction form
    823.03/1,234.78 = 275.57/x
  3. Step 3: Cross multiply
    823.03x = 1,234.78 × 275.57
  4. Step 4: Simplify right side
    823.03x = 340,268.32
  5. Step 5: Solve for x
    x = 340,268.32/823.03
  6. Step 6: Final answer
    x = 413.43

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1.5x scale

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.