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Finding the Fourth Proportional to 999.47, 1,379.09 and 601.29

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Solution

The fourth proportional to 999.47, 1,379.09 and 601.29 is: 829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.47 : 1,379.09 = 601.29 : x
  2. Step 2: Convert to fraction form
    999.47/1,379.09 = 601.29/x
  3. Step 3: Cross multiply
    999.47x = 1,379.09 × 601.29
  4. Step 4: Simplify right side
    999.47x = 829,234.53
  5. Step 5: Solve for x
    x = 829,234.53/999.47
  6. Step 6: Final answer
    x = 829.67

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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.