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Finding the Fourth Proportional to 1,052.09, 1,578.30 and 321.60

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Solution

The fourth proportional to 1,052.09, 1,578.30 and 321.60 is: 482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.09 : 1,578.30 = 321.60 : x
  2. Step 2: Convert to fraction form
    1,052.09/1,578.30 = 321.60/x
  3. Step 3: Cross multiply
    1,052.09x = 1,578.30 × 321.60
  4. Step 4: Simplify right side
    1,052.09x = 507,581.28
  5. Step 5: Solve for x
    x = 507,581.28/1,052.09
  6. Step 6: Final answer
    x = 482.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.