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Finding the Fourth Proportional to 661.44, 911.73 and 521.33

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Solution

The fourth proportional to 661.44, 911.73 and 521.33 is: 718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.44 : 911.73 = 521.33 : x
  2. Step 2: Convert to fraction form
    661.44/911.73 = 521.33/x
  3. Step 3: Cross multiply
    661.44x = 911.73 × 521.33
  4. Step 4: Simplify right side
    661.44x = 475,314.48
  5. Step 5: Solve for x
    x = 475,314.48/661.44
  6. Step 6: Final answer
    x = 718.61

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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.