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Finding the Fourth Proportional to 519.83, 779.23 and 461.74

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Solution

The fourth proportional to 519.83, 779.23 and 461.74 is: 692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.83 : 779.23 = 461.74 : x
  2. Step 2: Convert to fraction form
    519.83/779.23 = 461.74/x
  3. Step 3: Cross multiply
    519.83x = 779.23 × 461.74
  4. Step 4: Simplify right side
    519.83x = 359,801.30
  5. Step 5: Solve for x
    x = 359,801.30/519.83
  6. Step 6: Final answer
    x = 692.15

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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.