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Finding the Fourth Proportional to 804.88, 1,110.81 and 490.12

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Solution

The fourth proportional to 804.88, 1,110.81 and 490.12 is: 676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.88 : 1,110.81 = 490.12 : x
  2. Step 2: Convert to fraction form
    804.88/1,110.81 = 490.12/x
  3. Step 3: Cross multiply
    804.88x = 1,110.81 × 490.12
  4. Step 4: Simplify right side
    804.88x = 544,430.20
  5. Step 5: Solve for x
    x = 544,430.20/804.88
  6. Step 6: Final answer
    x = 676.41

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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.