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Finding the Fourth Proportional to 909.89, 1,255.62 and 495.89

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Solution

The fourth proportional to 909.89, 1,255.62 and 495.89 is: 684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.89 : 1,255.62 = 495.89 : x
  2. Step 2: Convert to fraction form
    909.89/1,255.62 = 495.89/x
  3. Step 3: Cross multiply
    909.89x = 1,255.62 × 495.89
  4. Step 4: Simplify right side
    909.89x = 622,649.40
  5. Step 5: Solve for x
    x = 622,649.40/909.89
  6. Step 6: Final answer
    x = 684.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.