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Finding the Fourth Proportional to 1,676.43, 2,514.78 and 522.18

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Solution

The fourth proportional to 1,676.43, 2,514.78 and 522.18 is: 783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.43 : 2,514.78 = 522.18 : x
  2. Step 2: Convert to fraction form
    1,676.43/2,514.78 = 522.18/x
  3. Step 3: Cross multiply
    1,676.43x = 2,514.78 × 522.18
  4. Step 4: Simplify right side
    1,676.43x = 1,313,167.82
  5. Step 5: Solve for x
    x = 1,313,167.82/1,676.43
  6. Step 6: Final answer
    x = 783.31

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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.