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Finding the Fourth Proportional to 703.86, 968.97 and 633.39

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Solution

The fourth proportional to 703.86, 968.97 and 633.39 is: 871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.86 : 968.97 = 633.39 : x
  2. Step 2: Convert to fraction form
    703.86/968.97 = 633.39/x
  3. Step 3: Cross multiply
    703.86x = 968.97 × 633.39
  4. Step 4: Simplify right side
    703.86x = 613,735.91
  5. Step 5: Solve for x
    x = 613,735.91/703.86
  6. Step 6: Final answer
    x = 871.96

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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.