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Finding the Fourth Proportional to 708.22, 968.68 and 696.88

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Solution

The fourth proportional to 708.22, 968.68 and 696.88 is: 953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.22 : 968.68 = 696.88 : x
  2. Step 2: Convert to fraction form
    708.22/968.68 = 696.88/x
  3. Step 3: Cross multiply
    708.22x = 968.68 × 696.88
  4. Step 4: Simplify right side
    708.22x = 675,050.23
  5. Step 5: Solve for x
    x = 675,050.23/708.22
  6. Step 6: Final answer
    x = 953.16

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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.