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Finding the Fourth Proportional to 755.38, 1,042.43 and 423.81

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Solution

The fourth proportional to 755.38, 1,042.43 and 423.81 is: 584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.38 : 1,042.43 = 423.81 : x
  2. Step 2: Convert to fraction form
    755.38/1,042.43 = 423.81/x
  3. Step 3: Cross multiply
    755.38x = 1,042.43 × 423.81
  4. Step 4: Simplify right side
    755.38x = 441,792.26
  5. Step 5: Solve for x
    x = 441,792.26/755.38
  6. Step 6: Final answer
    x = 584.86

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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.