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Finding the Fourth Proportional to 999.31, 1,378.41 and 803.29

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Solution

The fourth proportional to 999.31, 1,378.41 and 803.29 is: 1,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.31 : 1,378.41 = 803.29 : x
  2. Step 2: Convert to fraction form
    999.31/1,378.41 = 803.29/x
  3. Step 3: Cross multiply
    999.31x = 1,378.41 × 803.29
  4. Step 4: Simplify right side
    999.31x = 1,107,262.97
  5. Step 5: Solve for x
    x = 1,107,262.97/999.31
  6. Step 6: Final answer
    x = 1,108.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.