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Finding the Fourth Proportional to 1,028.18, 1,418.92 and 562.44

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Solution

The fourth proportional to 1,028.18, 1,418.92 and 562.44 is: 776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.18 : 1,418.92 = 562.44 : x
  2. Step 2: Convert to fraction form
    1,028.18/1,418.92 = 562.44/x
  3. Step 3: Cross multiply
    1,028.18x = 1,418.92 × 562.44
  4. Step 4: Simplify right side
    1,028.18x = 798,057.36
  5. Step 5: Solve for x
    x = 798,057.36/1,028.18
  6. Step 6: Final answer
    x = 776.18

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