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Finding the Fourth Proportional to 1,052.05, 1,578.42 and 321.63

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Solution

The fourth proportional to 1,052.05, 1,578.42 and 321.63 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.05 : 1,578.42 = 321.63 : x
  2. Step 2: Convert to fraction form
    1,052.05/1,578.42 = 321.63/x
  3. Step 3: Cross multiply
    1,052.05x = 1,578.42 × 321.63
  4. Step 4: Simplify right side
    1,052.05x = 507,673.76
  5. Step 5: Solve for x
    x = 507,673.76/1,052.05
  6. Step 6: Final answer
    x = 482.56

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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.