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Finding the Fourth Proportional to 1,028.03, 1,542.50 and 480.14

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Solution

The fourth proportional to 1,028.03, 1,542.50 and 480.14 is: 720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.03 : 1,542.50 = 480.14 : x
  2. Step 2: Convert to fraction form
    1,028.03/1,542.50 = 480.14/x
  3. Step 3: Cross multiply
    1,028.03x = 1,542.50 × 480.14
  4. Step 4: Simplify right side
    1,028.03x = 740,615.95
  5. Step 5: Solve for x
    x = 740,615.95/1,028.03
  6. Step 6: Final answer
    x = 720.42

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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.