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Finding the Fourth Proportional to 1,028.43, 1,542.78 and 541.62

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Solution

The fourth proportional to 1,028.43, 1,542.78 and 541.62 is: 812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.43 : 1,542.78 = 541.62 : x
  2. Step 2: Convert to fraction form
    1,028.43/1,542.78 = 541.62/x
  3. Step 3: Cross multiply
    1,028.43x = 1,542.78 × 541.62
  4. Step 4: Simplify right side
    1,028.43x = 835,600.50
  5. Step 5: Solve for x
    x = 835,600.50/1,028.43
  6. Step 6: Final answer
    x = 812.50

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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.