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Finding the Fourth Proportional to 1,028.97, 1,420.01 and 563.22

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Solution

The fourth proportional to 1,028.97, 1,420.01 and 563.22 is: 777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.97 : 1,420.01 = 563.22 : x
  2. Step 2: Convert to fraction form
    1,028.97/1,420.01 = 563.22/x
  3. Step 3: Cross multiply
    1,028.97x = 1,420.01 × 563.22
  4. Step 4: Simplify right side
    1,028.97x = 799,778.03
  5. Step 5: Solve for x
    x = 799,778.03/1,028.97
  6. Step 6: Final answer
    x = 777.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.