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Finding the Fourth Proportional to 755.21, 1,042.14 and 419.09

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Solution

The fourth proportional to 755.21, 1,042.14 and 419.09 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.21 : 1,042.14 = 419.09 : x
  2. Step 2: Convert to fraction form
    755.21/1,042.14 = 419.09/x
  3. Step 3: Cross multiply
    755.21x = 1,042.14 × 419.09
  4. Step 4: Simplify right side
    755.21x = 436,745.24
  5. Step 5: Solve for x
    x = 436,745.24/755.21
  6. Step 6: Final answer
    x = 578.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.