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Finding the Fourth Proportional to 712.83, 984.24 and 701.49

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Solution

The fourth proportional to 712.83, 984.24 and 701.49 is: 968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.83 : 984.24 = 701.49 : x
  2. Step 2: Convert to fraction form
    712.83/984.24 = 701.49/x
  3. Step 3: Cross multiply
    712.83x = 984.24 × 701.49
  4. Step 4: Simplify right side
    712.83x = 690,434.52
  5. Step 5: Solve for x
    x = 690,434.52/712.83
  6. Step 6: Final answer
    x = 968.58

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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.