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Finding the Fourth Proportional to 1,352.45, 2,028.86 and 622.24

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Solution

The fourth proportional to 1,352.45, 2,028.86 and 622.24 is: 933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.45 : 2,028.86 = 622.24 : x
  2. Step 2: Convert to fraction form
    1,352.45/2,028.86 = 622.24/x
  3. Step 3: Cross multiply
    1,352.45x = 2,028.86 × 622.24
  4. Step 4: Simplify right side
    1,352.45x = 1,262,437.85
  5. Step 5: Solve for x
    x = 1,262,437.85/1,352.45
  6. Step 6: Final answer
    x = 933.45

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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.