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Finding the Fourth Proportional to 1,352.90, 2,029.36 and 428.44

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Solution

The fourth proportional to 1,352.90, 2,029.36 and 428.44 is: 642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.90 : 2,029.36 = 428.44 : x
  2. Step 2: Convert to fraction form
    1,352.90/2,029.36 = 428.44/x
  3. Step 3: Cross multiply
    1,352.90x = 2,029.36 × 428.44
  4. Step 4: Simplify right side
    1,352.90x = 869,459.00
  5. Step 5: Solve for x
    x = 869,459.00/1,352.90
  6. Step 6: Final answer
    x = 642.66

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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.