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Finding the Fourth Proportional to 999.52, 1,498.68 and 443.94

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Solution

The fourth proportional to 999.52, 1,498.68 and 443.94 is: 665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.52 : 1,498.68 = 443.94 : x
  2. Step 2: Convert to fraction form
    999.52/1,498.68 = 443.94/x
  3. Step 3: Cross multiply
    999.52x = 1,498.68 × 443.94
  4. Step 4: Simplify right side
    999.52x = 665,324.00
  5. Step 5: Solve for x
    x = 665,324.00/999.52
  6. Step 6: Final answer
    x = 665.64

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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.