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Finding the Fourth Proportional to 700.92, 968.22 and 696.06

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Solution

The fourth proportional to 700.92, 968.22 and 696.06 is: 961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.92 : 968.22 = 696.06 : x
  2. Step 2: Convert to fraction form
    700.92/968.22 = 696.06/x
  3. Step 3: Cross multiply
    700.92x = 968.22 × 696.06
  4. Step 4: Simplify right side
    700.92x = 673,939.21
  5. Step 5: Solve for x
    x = 673,939.21/700.92
  6. Step 6: Final answer
    x = 961.51

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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.