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Finding the Fourth Proportional to 999.05, 1,378.06 and 644.83

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Solution

The fourth proportional to 999.05, 1,378.06 and 644.83 is: 889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.05 : 1,378.06 = 644.83 : x
  2. Step 2: Convert to fraction form
    999.05/1,378.06 = 644.83/x
  3. Step 3: Cross multiply
    999.05x = 1,378.06 × 644.83
  4. Step 4: Simplify right side
    999.05x = 888,609.37
  5. Step 5: Solve for x
    x = 888,609.37/999.05
  6. Step 6: Final answer
    x = 889.46

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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.