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Finding the Fourth Proportional to 1,014.72, 1,522.09 and 321.39

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Solution

The fourth proportional to 1,014.72, 1,522.09 and 321.39 is: 482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.72 : 1,522.09 = 321.39 : x
  2. Step 2: Convert to fraction form
    1,014.72/1,522.09 = 321.39/x
  3. Step 3: Cross multiply
    1,014.72x = 1,522.09 × 321.39
  4. Step 4: Simplify right side
    1,014.72x = 489,184.91
  5. Step 5: Solve for x
    x = 489,184.91/1,014.72
  6. Step 6: Final answer
    x = 482.09

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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.