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Finding the Fourth Proportional to 676.10, 1,014.02 and 285.97

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Solution

The fourth proportional to 676.10, 1,014.02 and 285.97 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.10 : 1,014.02 = 285.97 : x
  2. Step 2: Convert to fraction form
    676.10/1,014.02 = 285.97/x
  3. Step 3: Cross multiply
    676.10x = 1,014.02 × 285.97
  4. Step 4: Simplify right side
    676.10x = 289,979.30
  5. Step 5: Solve for x
    x = 289,979.30/676.10
  6. Step 6: Final answer
    x = 428.90

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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.