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Finding the Fourth Proportional to 1,676.28, 2,514.31 and 443.67

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Solution

The fourth proportional to 1,676.28, 2,514.31 and 443.67 is: 665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.28 : 2,514.31 = 443.67 : x
  2. Step 2: Convert to fraction form
    1,676.28/2,514.31 = 443.67/x
  3. Step 3: Cross multiply
    1,676.28x = 2,514.31 × 443.67
  4. Step 4: Simplify right side
    1,676.28x = 1,115,513.38
  5. Step 5: Solve for x
    x = 1,115,513.38/1,676.28
  6. Step 6: Final answer
    x = 665.47

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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.