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Finding the Fourth Proportional to 999.96, 1,379.90 and 557.86

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Solution

The fourth proportional to 999.96, 1,379.90 and 557.86 is: 769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.96 : 1,379.90 = 557.86 : x
  2. Step 2: Convert to fraction form
    999.96/1,379.90 = 557.86/x
  3. Step 3: Cross multiply
    999.96x = 1,379.90 × 557.86
  4. Step 4: Simplify right side
    999.96x = 769,791.01
  5. Step 5: Solve for x
    x = 769,791.01/999.96
  6. Step 6: Final answer
    x = 769.82

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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.