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Finding the Fourth Proportional to 676.96, 934.07 and 519.77

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Solution

The fourth proportional to 676.96, 934.07 and 519.77 is: 717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.96 : 934.07 = 519.77 : x
  2. Step 2: Convert to fraction form
    676.96/934.07 = 519.77/x
  3. Step 3: Cross multiply
    676.96x = 934.07 × 519.77
  4. Step 4: Simplify right side
    676.96x = 485,501.30
  5. Step 5: Solve for x
    x = 485,501.30/676.96
  6. Step 6: Final answer
    x = 717.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.