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Finding the Fourth Proportional to 1,352.58, 2,028.87 and 378.77

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Solution

The fourth proportional to 1,352.58, 2,028.87 and 378.77 is: 568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.58 : 2,028.87 = 378.77 : x
  2. Step 2: Convert to fraction form
    1,352.58/2,028.87 = 378.77/x
  3. Step 3: Cross multiply
    1,352.58x = 2,028.87 × 378.77
  4. Step 4: Simplify right side
    1,352.58x = 768,464.95
  5. Step 5: Solve for x
    x = 768,464.95/1,352.58
  6. Step 6: Final answer
    x = 568.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.