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Finding the Fourth Proportional to 752.82, 1,039.07 and 490.38

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Solution

The fourth proportional to 752.82, 1,039.07 and 490.38 is: 676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.82 : 1,039.07 = 490.38 : x
  2. Step 2: Convert to fraction form
    752.82/1,039.07 = 490.38/x
  3. Step 3: Cross multiply
    752.82x = 1,039.07 × 490.38
  4. Step 4: Simplify right side
    752.82x = 509,539.15
  5. Step 5: Solve for x
    x = 509,539.15/752.82
  6. Step 6: Final answer
    x = 676.84

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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.