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Finding the Fourth Proportional to 676.44, 1,013.58 and 459.54

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Solution

The fourth proportional to 676.44, 1,013.58 and 459.54 is: 688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.44 : 1,013.58 = 459.54 : x
  2. Step 2: Convert to fraction form
    676.44/1,013.58 = 459.54/x
  3. Step 3: Cross multiply
    676.44x = 1,013.58 × 459.54
  4. Step 4: Simplify right side
    676.44x = 465,780.55
  5. Step 5: Solve for x
    x = 465,780.55/676.44
  6. Step 6: Final answer
    x = 688.58

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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.