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Finding the Fourth Proportional to 660.48, 911.82 and 494.63

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Solution

The fourth proportional to 660.48, 911.82 and 494.63 is: 682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.48 : 911.82 = 494.63 : x
  2. Step 2: Convert to fraction form
    660.48/911.82 = 494.63/x
  3. Step 3: Cross multiply
    660.48x = 911.82 × 494.63
  4. Step 4: Simplify right side
    660.48x = 451,013.53
  5. Step 5: Solve for x
    x = 451,013.53/660.48
  6. Step 6: Final answer
    x = 682.86

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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.