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Finding the Fourth Proportional to 999.58, 1,379.22 and 557.41

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Solution

The fourth proportional to 999.58, 1,379.22 and 557.41 is: 769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.58 : 1,379.22 = 557.41 : x
  2. Step 2: Convert to fraction form
    999.58/1,379.22 = 557.41/x
  3. Step 3: Cross multiply
    999.58x = 1,379.22 × 557.41
  4. Step 4: Simplify right side
    999.58x = 768,791.02
  5. Step 5: Solve for x
    x = 768,791.02/999.58
  6. Step 6: Final answer
    x = 769.11

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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.