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Finding the Fourth Proportional to 676.64, 1,014.20 and 416.83

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Solution

The fourth proportional to 676.64, 1,014.20 and 416.83 is: 624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.64 : 1,014.20 = 416.83 : x
  2. Step 2: Convert to fraction form
    676.64/1,014.20 = 416.83/x
  3. Step 3: Cross multiply
    676.64x = 1,014.20 × 416.83
  4. Step 4: Simplify right side
    676.64x = 422,748.99
  5. Step 5: Solve for x
    x = 422,748.99/676.64
  6. Step 6: Final answer
    x = 624.78

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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.