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Finding the Fourth Proportional to 1,447.33, 1,997.25 and 809.16

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Solution

The fourth proportional to 1,447.33, 1,997.25 and 809.16 is: 1,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.33 : 1,997.25 = 809.16 : x
  2. Step 2: Convert to fraction form
    1,447.33/1,997.25 = 809.16/x
  3. Step 3: Cross multiply
    1,447.33x = 1,997.25 × 809.16
  4. Step 4: Simplify right side
    1,447.33x = 1,616,090.76
  5. Step 5: Solve for x
    x = 1,616,090.76/1,447.33
  6. Step 6: Final answer
    x = 1,116.60

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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.