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Finding the Fourth Proportional to 999.94, 1,379.91 and 557.81

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Solution

The fourth proportional to 999.94, 1,379.91 and 557.81 is: 769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.94 : 1,379.91 = 557.81 : x
  2. Step 2: Convert to fraction form
    999.94/1,379.91 = 557.81/x
  3. Step 3: Cross multiply
    999.94x = 1,379.91 × 557.81
  4. Step 4: Simplify right side
    999.94x = 769,731.05
  5. Step 5: Solve for x
    x = 769,731.05/999.94
  6. Step 6: Final answer
    x = 769.78

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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.