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Finding the Fourth Proportional to 707.97, 968.33 and 696.63

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Solution

The fourth proportional to 707.97, 968.33 and 696.63 is: 952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.97 : 968.33 = 696.63 : x
  2. Step 2: Convert to fraction form
    707.97/968.33 = 696.63/x
  3. Step 3: Cross multiply
    707.97x = 968.33 × 696.63
  4. Step 4: Simplify right side
    707.97x = 674,564.24
  5. Step 5: Solve for x
    x = 674,564.24/707.97
  6. Step 6: Final answer
    x = 952.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.