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Finding the Fourth Proportional to 1,353.89, 2,025.78 and 964.79

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Solution

The fourth proportional to 1,353.89, 2,025.78 and 964.79 is: 1,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.89 : 2,025.78 = 964.79 : x
  2. Step 2: Convert to fraction form
    1,353.89/2,025.78 = 964.79/x
  3. Step 3: Cross multiply
    1,353.89x = 2,025.78 × 964.79
  4. Step 4: Simplify right side
    1,353.89x = 1,954,452.29
  5. Step 5: Solve for x
    x = 1,954,452.29/1,353.89
  6. Step 6: Final answer
    x = 1,443.58

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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.