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Finding the Fourth Proportional to 804.23, 1,109.84 and 454.92

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Solution

The fourth proportional to 804.23, 1,109.84 and 454.92 is: 627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.23 : 1,109.84 = 454.92 : x
  2. Step 2: Convert to fraction form
    804.23/1,109.84 = 454.92/x
  3. Step 3: Cross multiply
    804.23x = 1,109.84 × 454.92
  4. Step 4: Simplify right side
    804.23x = 504,881.98
  5. Step 5: Solve for x
    x = 504,881.98/804.23
  6. Step 6: Final answer
    x = 627.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.