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Finding the Fourth Proportional to 1,353.58, 2,028.75 and 622.96

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Solution

The fourth proportional to 1,353.58, 2,028.75 and 622.96 is: 933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.58 : 2,028.75 = 622.96 : x
  2. Step 2: Convert to fraction form
    1,353.58/2,028.75 = 622.96/x
  3. Step 3: Cross multiply
    1,353.58x = 2,028.75 × 622.96
  4. Step 4: Simplify right side
    1,353.58x = 1,263,830.10
  5. Step 5: Solve for x
    x = 1,263,830.10/1,353.58
  6. Step 6: Final answer
    x = 933.69

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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.