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Finding the Fourth Proportional to 800.19, 1,104.21 and 450.90

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Solution

The fourth proportional to 800.19, 1,104.21 and 450.90 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.19 : 1,104.21 = 450.90 : x
  2. Step 2: Convert to fraction form
    800.19/1,104.21 = 450.90/x
  3. Step 3: Cross multiply
    800.19x = 1,104.21 × 450.90
  4. Step 4: Simplify right side
    800.19x = 497,888.29
  5. Step 5: Solve for x
    x = 497,888.29/800.19
  6. Step 6: Final answer
    x = 622.21

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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.