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Finding the Fourth Proportional to 708.84, 984.94 and 701.23

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Solution

The fourth proportional to 708.84, 984.94 and 701.23 is: 974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.84 : 984.94 = 701.23 : x
  2. Step 2: Convert to fraction form
    708.84/984.94 = 701.23/x
  3. Step 3: Cross multiply
    708.84x = 984.94 × 701.23
  4. Step 4: Simplify right side
    708.84x = 690,669.48
  5. Step 5: Solve for x
    x = 690,669.48/708.84
  6. Step 6: Final answer
    x = 974.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.