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Finding the Fourth Proportional to 676.43, 1,013.94 and 264.99

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Solution

The fourth proportional to 676.43, 1,013.94 and 264.99 is: 397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.43 : 1,013.94 = 264.99 : x
  2. Step 2: Convert to fraction form
    676.43/1,013.94 = 264.99/x
  3. Step 3: Cross multiply
    676.43x = 1,013.94 × 264.99
  4. Step 4: Simplify right side
    676.43x = 268,683.96
  5. Step 5: Solve for x
    x = 268,683.96/676.43
  6. Step 6: Final answer
    x = 397.21

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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.