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Finding the Fourth Proportional to 846.89, 1,270.01 and 326.61

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Solution

The fourth proportional to 846.89, 1,270.01 and 326.61 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.89 : 1,270.01 = 326.61 : x
  2. Step 2: Convert to fraction form
    846.89/1,270.01 = 326.61/x
  3. Step 3: Cross multiply
    846.89x = 1,270.01 × 326.61
  4. Step 4: Simplify right side
    846.89x = 414,793.16
  5. Step 5: Solve for x
    x = 414,793.16/846.89
  6. Step 6: Final answer
    x = 489.78

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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.