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Finding the Fourth Proportional to 521.44, 782.13 and 451.79

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Solution

The fourth proportional to 521.44, 782.13 and 451.79 is: 677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 782.13 = 451.79 : x
  2. Step 2: Convert to fraction form
    521.44/782.13 = 451.79/x
  3. Step 3: Cross multiply
    521.44x = 782.13 × 451.79
  4. Step 4: Simplify right side
    521.44x = 353,359.06
  5. Step 5: Solve for x
    x = 353,359.06/521.44
  6. Step 6: Final answer
    x = 677.66

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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.