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Finding the Fourth Proportional to 681.69, 941.13 and 495

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Solution

The fourth proportional to 681.69, 941.13 and 495 is: 683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.69 : 941.13 = 495 : x
  2. Step 2: Convert to fraction form
    681.69/941.13 = 495/x
  3. Step 3: Cross multiply
    681.69x = 941.13 × 495
  4. Step 4: Simplify right side
    681.69x = 465,859.35
  5. Step 5: Solve for x
    x = 465,859.35/681.69
  6. Step 6: Final answer
    x = 683.39

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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.