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Finding the Fourth Proportional to 755.41, 1,042.43 and 423.82

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Solution

The fourth proportional to 755.41, 1,042.43 and 423.82 is: 584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.41 : 1,042.43 = 423.82 : x
  2. Step 2: Convert to fraction form
    755.41/1,042.43 = 423.82/x
  3. Step 3: Cross multiply
    755.41x = 1,042.43 × 423.82
  4. Step 4: Simplify right side
    755.41x = 441,802.68
  5. Step 5: Solve for x
    x = 441,802.68/755.41
  6. Step 6: Final answer
    x = 584.85

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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.