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Finding the Fourth Proportional to 755.31, 1,042.25 and 423.66

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Solution

The fourth proportional to 755.31, 1,042.25 and 423.66 is: 584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.31 : 1,042.25 = 423.66 : x
  2. Step 2: Convert to fraction form
    755.31/1,042.25 = 423.66/x
  3. Step 3: Cross multiply
    755.31x = 1,042.25 × 423.66
  4. Step 4: Simplify right side
    755.31x = 441,559.64
  5. Step 5: Solve for x
    x = 441,559.64/755.31
  6. Step 6: Final answer
    x = 584.61

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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.