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Finding the Fourth Proportional to 1,352.49, 2,029.07 and 378.58

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Solution

The fourth proportional to 1,352.49, 2,029.07 and 378.58 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.49 : 2,029.07 = 378.58 : x
  2. Step 2: Convert to fraction form
    1,352.49/2,029.07 = 378.58/x
  3. Step 3: Cross multiply
    1,352.49x = 2,029.07 × 378.58
  4. Step 4: Simplify right side
    1,352.49x = 768,163.43
  5. Step 5: Solve for x
    x = 768,163.43/1,352.49
  6. Step 6: Final answer
    x = 567.96

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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.