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Finding the Fourth Proportional to 844.86, 1,265.90 and 519.54

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Solution

The fourth proportional to 844.86, 1,265.90 and 519.54 is: 778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.86 : 1,265.90 = 519.54 : x
  2. Step 2: Convert to fraction form
    844.86/1,265.90 = 519.54/x
  3. Step 3: Cross multiply
    844.86x = 1,265.90 × 519.54
  4. Step 4: Simplify right side
    844.86x = 657,685.69
  5. Step 5: Solve for x
    x = 657,685.69/844.86
  6. Step 6: Final answer
    x = 778.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.