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Finding the Fourth Proportional to 1,278.30, 1,762.74 and 1,028.88

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Solution

The fourth proportional to 1,278.30, 1,762.74 and 1,028.88 is: 1,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.30 : 1,762.74 = 1,028.88 : x
  2. Step 2: Convert to fraction form
    1,278.30/1,762.74 = 1,028.88/x
  3. Step 3: Cross multiply
    1,278.30x = 1,762.74 × 1,028.88
  4. Step 4: Simplify right side
    1,278.30x = 1,813,647.93
  5. Step 5: Solve for x
    x = 1,813,647.93/1,278.30
  6. Step 6: Final answer
    x = 1,418.80

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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.