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Finding the Fourth Proportional to 999.57, 1,499.37 and 269.22

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Solution

The fourth proportional to 999.57, 1,499.37 and 269.22 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.57 : 1,499.37 = 269.22 : x
  2. Step 2: Convert to fraction form
    999.57/1,499.37 = 269.22/x
  3. Step 3: Cross multiply
    999.57x = 1,499.37 × 269.22
  4. Step 4: Simplify right side
    999.57x = 403,660.39
  5. Step 5: Solve for x
    x = 403,660.39/999.57
  6. Step 6: Final answer
    x = 403.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.