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Finding the Fourth Proportional to 1,028.62, 1,542.93 and 443.80

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Solution

The fourth proportional to 1,028.62, 1,542.93 and 443.80 is: 665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.62 : 1,542.93 = 443.80 : x
  2. Step 2: Convert to fraction form
    1,028.62/1,542.93 = 443.80/x
  3. Step 3: Cross multiply
    1,028.62x = 1,542.93 × 443.80
  4. Step 4: Simplify right side
    1,028.62x = 684,752.33
  5. Step 5: Solve for x
    x = 684,752.33/1,028.62
  6. Step 6: Final answer
    x = 665.70

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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.