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Finding the Fourth Proportional to 1,014.89, 1,522.44 and 321.62

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Solution

The fourth proportional to 1,014.89, 1,522.44 and 321.62 is: 482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.89 : 1,522.44 = 321.62 : x
  2. Step 2: Convert to fraction form
    1,014.89/1,522.44 = 321.62/x
  3. Step 3: Cross multiply
    1,014.89x = 1,522.44 × 321.62
  4. Step 4: Simplify right side
    1,014.89x = 489,639.54
  5. Step 5: Solve for x
    x = 489,639.54/1,014.89
  6. Step 6: Final answer
    x = 482.46

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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.