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Finding the Fourth Proportional to 999.95, 1,499.96 and 269.54

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Solution

The fourth proportional to 999.95, 1,499.96 and 269.54 is: 404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.95 : 1,499.96 = 269.54 : x
  2. Step 2: Convert to fraction form
    999.95/1,499.96 = 269.54/x
  3. Step 3: Cross multiply
    999.95x = 1,499.96 × 269.54
  4. Step 4: Simplify right side
    999.95x = 404,297.87
  5. Step 5: Solve for x
    x = 404,297.87/999.95
  6. Step 6: Final answer
    x = 404.32

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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.