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Finding the Fourth Proportional to 708.96, 976.02 and 674.34

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Solution

The fourth proportional to 708.96, 976.02 and 674.34 is: 928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.96 : 976.02 = 674.34 : x
  2. Step 2: Convert to fraction form
    708.96/976.02 = 674.34/x
  3. Step 3: Cross multiply
    708.96x = 976.02 × 674.34
  4. Step 4: Simplify right side
    708.96x = 658,169.33
  5. Step 5: Solve for x
    x = 658,169.33/708.96
  6. Step 6: Final answer
    x = 928.36

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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.