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Finding the Fourth Proportional to 755.41, 1,042.44 and 423.83

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Solution

The fourth proportional to 755.41, 1,042.44 and 423.83 is: 584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.41 : 1,042.44 = 423.83 : x
  2. Step 2: Convert to fraction form
    755.41/1,042.44 = 423.83/x
  3. Step 3: Cross multiply
    755.41x = 1,042.44 × 423.83
  4. Step 4: Simplify right side
    755.41x = 441,812.13
  5. Step 5: Solve for x
    x = 441,812.13/755.41
  6. Step 6: Final answer
    x = 584.87

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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.