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Finding the Fourth Proportional to 764.09, 1,144.77 and 519.74

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Solution

The fourth proportional to 764.09, 1,144.77 and 519.74 is: 778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.09 : 1,144.77 = 519.74 : x
  2. Step 2: Convert to fraction form
    764.09/1,144.77 = 519.74/x
  3. Step 3: Cross multiply
    764.09x = 1,144.77 × 519.74
  4. Step 4: Simplify right side
    764.09x = 594,977.04
  5. Step 5: Solve for x
    x = 594,977.04/764.09
  6. Step 6: Final answer
    x = 778.68

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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.