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Finding the Fourth Proportional to 755.89, 1,042.16 and 489.86

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Solution

The fourth proportional to 755.89, 1,042.16 and 489.86 is: 675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.89 : 1,042.16 = 489.86 : x
  2. Step 2: Convert to fraction form
    755.89/1,042.16 = 489.86/x
  3. Step 3: Cross multiply
    755.89x = 1,042.16 × 489.86
  4. Step 4: Simplify right side
    755.89x = 510,504.84
  5. Step 5: Solve for x
    x = 510,504.84/755.89
  6. Step 6: Final answer
    x = 675.37

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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.