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Finding the Fourth Proportional to 1,352.84, 2,029.15 and 428.43

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Solution

The fourth proportional to 1,352.84, 2,029.15 and 428.43 is: 642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.84 : 2,029.15 = 428.43 : x
  2. Step 2: Convert to fraction form
    1,352.84/2,029.15 = 428.43/x
  3. Step 3: Cross multiply
    1,352.84x = 2,029.15 × 428.43
  4. Step 4: Simplify right side
    1,352.84x = 869,348.73
  5. Step 5: Solve for x
    x = 869,348.73/1,352.84
  6. Step 6: Final answer
    x = 642.61

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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.