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Finding the Fourth Proportional to 572.21, 857.77 and 519.83

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Solution

The fourth proportional to 572.21, 857.77 and 519.83 is: 779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.21 : 857.77 = 519.83 : x
  2. Step 2: Convert to fraction form
    572.21/857.77 = 519.83/x
  3. Step 3: Cross multiply
    572.21x = 857.77 × 519.83
  4. Step 4: Simplify right side
    572.21x = 445,894.58
  5. Step 5: Solve for x
    x = 445,894.58/572.21
  6. Step 6: Final answer
    x = 779.25

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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.