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Finding the Fourth Proportional to 708.21, 971.19 and 674.19

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Solution

The fourth proportional to 708.21, 971.19 and 674.19 is: 924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.21 : 971.19 = 674.19 : x
  2. Step 2: Convert to fraction form
    708.21/971.19 = 674.19/x
  3. Step 3: Cross multiply
    708.21x = 971.19 × 674.19
  4. Step 4: Simplify right side
    708.21x = 654,766.59
  5. Step 5: Solve for x
    x = 654,766.59/708.21
  6. Step 6: Final answer
    x = 924.54

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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.