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Finding the Fourth Proportional to 1,352.62, 2,028.64 and 428.26

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Solution

The fourth proportional to 1,352.62, 2,028.64 and 428.26 is: 642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.62 : 2,028.64 = 428.26 : x
  2. Step 2: Convert to fraction form
    1,352.62/2,028.64 = 428.26/x
  3. Step 3: Cross multiply
    1,352.62x = 2,028.64 × 428.26
  4. Step 4: Simplify right side
    1,352.62x = 868,785.37
  5. Step 5: Solve for x
    x = 868,785.37/1,352.62
  6. Step 6: Final answer
    x = 642.30

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Why These Related Problems?

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