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Finding the Fourth Proportional to 999.34, 1,496.27 and 511.41

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Solution

The fourth proportional to 999.34, 1,496.27 and 511.41 is: 765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.34 : 1,496.27 = 511.41 : x
  2. Step 2: Convert to fraction form
    999.34/1,496.27 = 511.41/x
  3. Step 3: Cross multiply
    999.34x = 1,496.27 × 511.41
  4. Step 4: Simplify right side
    999.34x = 765,214.33
  5. Step 5: Solve for x
    x = 765,214.33/999.34
  6. Step 6: Final answer
    x = 765.72

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