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Finding the Fourth Proportional to 1,443.64, 1,992.18 and 814.20

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Solution

The fourth proportional to 1,443.64, 1,992.18 and 814.20 is: 1,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.64 : 1,992.18 = 814.20 : x
  2. Step 2: Convert to fraction form
    1,443.64/1,992.18 = 814.20/x
  3. Step 3: Cross multiply
    1,443.64x = 1,992.18 × 814.20
  4. Step 4: Simplify right side
    1,443.64x = 1,622,032.96
  5. Step 5: Solve for x
    x = 1,622,032.96/1,443.64
  6. Step 6: Final answer
    x = 1,123.57

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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.