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Finding the Fourth Proportional to 705.89, 974.25 and 674.75

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Solution

The fourth proportional to 705.89, 974.25 and 674.75 is: 931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.89 : 974.25 = 674.75 : x
  2. Step 2: Convert to fraction form
    705.89/974.25 = 674.75/x
  3. Step 3: Cross multiply
    705.89x = 974.25 × 674.75
  4. Step 4: Simplify right side
    705.89x = 657,367.79
  5. Step 5: Solve for x
    x = 657,367.79/705.89
  6. Step 6: Final answer
    x = 931.26

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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.