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Finding the Fourth Proportional to 1,676.34, 2,514.27 and 580.80

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Solution

The fourth proportional to 1,676.34, 2,514.27 and 580.80 is: 871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.34 : 2,514.27 = 580.80 : x
  2. Step 2: Convert to fraction form
    1,676.34/2,514.27 = 580.80/x
  3. Step 3: Cross multiply
    1,676.34x = 2,514.27 × 580.80
  4. Step 4: Simplify right side
    1,676.34x = 1,460,288.02
  5. Step 5: Solve for x
    x = 1,460,288.02/1,676.34
  6. Step 6: Final answer
    x = 871.12

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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.