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Finding the Fourth Proportional to 844.36, 1,166.30 and 650.28

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Solution

The fourth proportional to 844.36, 1,166.30 and 650.28 is: 898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.36 : 1,166.30 = 650.28 : x
  2. Step 2: Convert to fraction form
    844.36/1,166.30 = 650.28/x
  3. Step 3: Cross multiply
    844.36x = 1,166.30 × 650.28
  4. Step 4: Simplify right side
    844.36x = 758,421.56
  5. Step 5: Solve for x
    x = 758,421.56/844.36
  6. Step 6: Final answer
    x = 898.22

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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.