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Finding the Fourth Proportional to 804.92, 1,110.73 and 450.83

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Solution

The fourth proportional to 804.92, 1,110.73 and 450.83 is: 622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.92 : 1,110.73 = 450.83 : x
  2. Step 2: Convert to fraction form
    804.92/1,110.73 = 450.83/x
  3. Step 3: Cross multiply
    804.92x = 1,110.73 × 450.83
  4. Step 4: Simplify right side
    804.92x = 500,743.73
  5. Step 5: Solve for x
    x = 500,743.73/804.92
  6. Step 6: Final answer
    x = 622.11

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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.