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Finding the Fourth Proportional to 1,464.44, 2,020.82 and 801.15

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Solution

The fourth proportional to 1,464.44, 2,020.82 and 801.15 is: 1,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.44 : 2,020.82 = 801.15 : x
  2. Step 2: Convert to fraction form
    1,464.44/2,020.82 = 801.15/x
  3. Step 3: Cross multiply
    1,464.44x = 2,020.82 × 801.15
  4. Step 4: Simplify right side
    1,464.44x = 1,618,968.36
  5. Step 5: Solve for x
    x = 1,618,968.36/1,464.44
  6. Step 6: Final answer
    x = 1,105.52

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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.