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Finding the Fourth Proportional to 909.86, 1,364.79 and 544.75

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Solution

The fourth proportional to 909.86, 1,364.79 and 544.75 is: 817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.86 : 1,364.79 = 544.75 : x
  2. Step 2: Convert to fraction form
    909.86/1,364.79 = 544.75/x
  3. Step 3: Cross multiply
    909.86x = 1,364.79 × 544.75
  4. Step 4: Simplify right side
    909.86x = 743,469.35
  5. Step 5: Solve for x
    x = 743,469.35/909.86
  6. Step 6: Final answer
    x = 817.13

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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.