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Finding the Fourth Proportional to 1,353.25, 2,028.42 and 573.07

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Solution

The fourth proportional to 1,353.25, 2,028.42 and 573.07 is: 858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.25 : 2,028.42 = 573.07 : x
  2. Step 2: Convert to fraction form
    1,353.25/2,028.42 = 573.07/x
  3. Step 3: Cross multiply
    1,353.25x = 2,028.42 × 573.07
  4. Step 4: Simplify right side
    1,353.25x = 1,162,426.65
  5. Step 5: Solve for x
    x = 1,162,426.65/1,353.25
  6. Step 6: Final answer
    x = 858.99

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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.