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Finding the Fourth Proportional to 822.95, 1,234.70 and 275.30

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Solution

The fourth proportional to 822.95, 1,234.70 and 275.30 is: 413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.95 : 1,234.70 = 275.30 : x
  2. Step 2: Convert to fraction form
    822.95/1,234.70 = 275.30/x
  3. Step 3: Cross multiply
    822.95x = 1,234.70 × 275.30
  4. Step 4: Simplify right side
    822.95x = 339,912.91
  5. Step 5: Solve for x
    x = 339,912.91/822.95
  6. Step 6: Final answer
    x = 413.04

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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.