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Finding the Fourth Proportional to 676.10, 1,012.34 and 431.30

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Solution

The fourth proportional to 676.10, 1,012.34 and 431.30 is: 645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.10 : 1,012.34 = 431.30 : x
  2. Step 2: Convert to fraction form
    676.10/1,012.34 = 431.30/x
  3. Step 3: Cross multiply
    676.10x = 1,012.34 × 431.30
  4. Step 4: Simplify right side
    676.10x = 436,622.24
  5. Step 5: Solve for x
    x = 436,622.24/676.10
  6. Step 6: Final answer
    x = 645.80

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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.