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Finding the Fourth Proportional to 1,028.63, 1,542.63 and 412.01

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Solution

The fourth proportional to 1,028.63, 1,542.63 and 412.01 is: 617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.63 : 1,542.63 = 412.01 : x
  2. Step 2: Convert to fraction form
    1,028.63/1,542.63 = 412.01/x
  3. Step 3: Cross multiply
    1,028.63x = 1,542.63 × 412.01
  4. Step 4: Simplify right side
    1,028.63x = 635,578.99
  5. Step 5: Solve for x
    x = 635,578.99/1,028.63
  6. Step 6: Final answer
    x = 617.89

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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.