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Finding the Fourth Proportional to 1,444.28, 1,992.69 and 814.78

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Solution

The fourth proportional to 1,444.28, 1,992.69 and 814.78 is: 1,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.28 : 1,992.69 = 814.78 : x
  2. Step 2: Convert to fraction form
    1,444.28/1,992.69 = 814.78/x
  3. Step 3: Cross multiply
    1,444.28x = 1,992.69 × 814.78
  4. Step 4: Simplify right side
    1,444.28x = 1,623,593.99
  5. Step 5: Solve for x
    x = 1,623,593.99/1,444.28
  6. Step 6: Final answer
    x = 1,124.15

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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.