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Finding the Fourth Proportional to 1,028.19, 1,542.03 and 403.62

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Solution

The fourth proportional to 1,028.19, 1,542.03 and 403.62 is: 605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.19 : 1,542.03 = 403.62 : x
  2. Step 2: Convert to fraction form
    1,028.19/1,542.03 = 403.62/x
  3. Step 3: Cross multiply
    1,028.19x = 1,542.03 × 403.62
  4. Step 4: Simplify right side
    1,028.19x = 622,386.44
  5. Step 5: Solve for x
    x = 622,386.44/1,028.19
  6. Step 6: Final answer
    x = 605.32

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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.