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Finding the Fourth Proportional to 755.33, 1,042.94 and 489.89

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Solution

The fourth proportional to 755.33, 1,042.94 and 489.89 is: 676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.33 : 1,042.94 = 489.89 : x
  2. Step 2: Convert to fraction form
    755.33/1,042.94 = 489.89/x
  3. Step 3: Cross multiply
    755.33x = 1,042.94 × 489.89
  4. Step 4: Simplify right side
    755.33x = 510,923.43
  5. Step 5: Solve for x
    x = 510,923.43/755.33
  6. Step 6: Final answer
    x = 676.43

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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.