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Finding the Fourth Proportional to 800.21, 1,104.30 and 561.29

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Solution

The fourth proportional to 800.21, 1,104.30 and 561.29 is: 774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.21 : 1,104.30 = 561.29 : x
  2. Step 2: Convert to fraction form
    800.21/1,104.30 = 561.29/x
  3. Step 3: Cross multiply
    800.21x = 1,104.30 × 561.29
  4. Step 4: Simplify right side
    800.21x = 619,832.55
  5. Step 5: Solve for x
    x = 619,832.55/800.21
  6. Step 6: Final answer
    x = 774.59

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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.