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Finding the Fourth Proportional to 676.62, 1,016.01 and 468.45

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Solution

The fourth proportional to 676.62, 1,016.01 and 468.45 is: 703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.62 : 1,016.01 = 468.45 : x
  2. Step 2: Convert to fraction form
    676.62/1,016.01 = 468.45/x
  3. Step 3: Cross multiply
    676.62x = 1,016.01 × 468.45
  4. Step 4: Simplify right side
    676.62x = 475,949.88
  5. Step 5: Solve for x
    x = 475,949.88/676.62
  6. Step 6: Final answer
    x = 703.42

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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.