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Finding the Fourth Proportional to 1,052.13, 1,578.20 and 321.62

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Solution

The fourth proportional to 1,052.13, 1,578.20 and 321.62 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.13 : 1,578.20 = 321.62 : x
  2. Step 2: Convert to fraction form
    1,052.13/1,578.20 = 321.62/x
  3. Step 3: Cross multiply
    1,052.13x = 1,578.20 × 321.62
  4. Step 4: Simplify right side
    1,052.13x = 507,571.18
  5. Step 5: Solve for x
    x = 507,571.18/1,052.13
  6. Step 6: Final answer
    x = 482.42

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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.