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Finding the Fourth Proportional to 999.11, 1,498.26 and 414.10

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Solution

The fourth proportional to 999.11, 1,498.26 and 414.10 is: 620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.11 : 1,498.26 = 414.10 : x
  2. Step 2: Convert to fraction form
    999.11/1,498.26 = 414.10/x
  3. Step 3: Cross multiply
    999.11x = 1,498.26 × 414.10
  4. Step 4: Simplify right side
    999.11x = 620,421.97
  5. Step 5: Solve for x
    x = 620,421.97/999.11
  6. Step 6: Final answer
    x = 620.97

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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.