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Finding the Fourth Proportional to 1,028.42, 1,542.90 and 541.34

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Solution

The fourth proportional to 1,028.42, 1,542.90 and 541.34 is: 812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.42 : 1,542.90 = 541.34 : x
  2. Step 2: Convert to fraction form
    1,028.42/1,542.90 = 541.34/x
  3. Step 3: Cross multiply
    1,028.42x = 1,542.90 × 541.34
  4. Step 4: Simplify right side
    1,028.42x = 835,233.49
  5. Step 5: Solve for x
    x = 835,233.49/1,028.42
  6. Step 6: Final answer
    x = 812.15

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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.