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Finding the Fourth Proportional to 519.84, 779.40 and 451.44

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Solution

The fourth proportional to 519.84, 779.40 and 451.44 is: 676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 779.40 = 451.44 : x
  2. Step 2: Convert to fraction form
    519.84/779.40 = 451.44/x
  3. Step 3: Cross multiply
    519.84x = 779.40 × 451.44
  4. Step 4: Simplify right side
    519.84x = 351,852.34
  5. Step 5: Solve for x
    x = 351,852.34/519.84
  6. Step 6: Final answer
    x = 676.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.