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Finding the Fourth Proportional to 676.02, 1,014.35 and 665.10

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Solution

The fourth proportional to 676.02, 1,014.35 and 665.10 is: 997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.02 : 1,014.35 = 665.10 : x
  2. Step 2: Convert to fraction form
    676.02/1,014.35 = 665.10/x
  3. Step 3: Cross multiply
    676.02x = 1,014.35 × 665.10
  4. Step 4: Simplify right side
    676.02x = 674,640.86
  5. Step 5: Solve for x
    x = 674,640.86/676.02
  6. Step 6: Final answer
    x = 997.96

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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.