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Finding the Fourth Proportional to 676.58, 1,014.87 and 522.73

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Solution

The fourth proportional to 676.58, 1,014.87 and 522.73 is: 784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.58 : 1,014.87 = 522.73 : x
  2. Step 2: Convert to fraction form
    676.58/1,014.87 = 522.73/x
  3. Step 3: Cross multiply
    676.58x = 1,014.87 × 522.73
  4. Step 4: Simplify right side
    676.58x = 530,503.00
  5. Step 5: Solve for x
    x = 530,503.00/676.58
  6. Step 6: Final answer
    x = 784.10

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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.