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Finding the Fourth Proportional to 676.28, 1,012.32 and 522.80

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Solution

The fourth proportional to 676.28, 1,012.32 and 522.80 is: 782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.28 : 1,012.32 = 522.80 : x
  2. Step 2: Convert to fraction form
    676.28/1,012.32 = 522.80/x
  3. Step 3: Cross multiply
    676.28x = 1,012.32 × 522.80
  4. Step 4: Simplify right side
    676.28x = 529,240.90
  5. Step 5: Solve for x
    x = 529,240.90/676.28
  6. Step 6: Final answer
    x = 782.58

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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.