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Finding the Fourth Proportional to 797.71, 1,100.82 and 448.42

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Solution

The fourth proportional to 797.71, 1,100.82 and 448.42 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.71 : 1,100.82 = 448.42 : x
  2. Step 2: Convert to fraction form
    797.71/1,100.82 = 448.42/x
  3. Step 3: Cross multiply
    797.71x = 1,100.82 × 448.42
  4. Step 4: Simplify right side
    797.71x = 493,629.70
  5. Step 5: Solve for x
    x = 493,629.70/797.71
  6. Step 6: Final answer
    x = 618.81

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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.