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Finding the Fourth Proportional to 1,014.91, 1,522.44 and 321.63

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Solution

The fourth proportional to 1,014.91, 1,522.44 and 321.63 is: 482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.91 : 1,522.44 = 321.63 : x
  2. Step 2: Convert to fraction form
    1,014.91/1,522.44 = 321.63/x
  3. Step 3: Cross multiply
    1,014.91x = 1,522.44 × 321.63
  4. Step 4: Simplify right side
    1,014.91x = 489,662.38
  5. Step 5: Solve for x
    x = 489,662.38/1,014.91
  6. Step 6: Final answer
    x = 482.47

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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.