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Finding the Fourth Proportional to 703.15, 969.96 and 481.75

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Solution

The fourth proportional to 703.15, 969.96 and 481.75 is: 664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.15 : 969.96 = 481.75 : x
  2. Step 2: Convert to fraction form
    703.15/969.96 = 481.75/x
  3. Step 3: Cross multiply
    703.15x = 969.96 × 481.75
  4. Step 4: Simplify right side
    703.15x = 467,278.23
  5. Step 5: Solve for x
    x = 467,278.23/703.15
  6. Step 6: Final answer
    x = 664.55

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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.