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Finding the Fourth Proportional to 521.95, 783.67 and 512.73

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Solution

The fourth proportional to 521.95, 783.67 and 512.73 is: 769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.95 : 783.67 = 512.73 : x
  2. Step 2: Convert to fraction form
    521.95/783.67 = 512.73/x
  3. Step 3: Cross multiply
    521.95x = 783.67 × 512.73
  4. Step 4: Simplify right side
    521.95x = 401,811.12
  5. Step 5: Solve for x
    x = 401,811.12/521.95
  6. Step 6: Final answer
    x = 769.83

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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.