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Finding the Fourth Proportional to 963.52, 1,329.26 and 712.04

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Solution

The fourth proportional to 963.52, 1,329.26 and 712.04 is: 982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.52 : 1,329.26 = 712.04 : x
  2. Step 2: Convert to fraction form
    963.52/1,329.26 = 712.04/x
  3. Step 3: Cross multiply
    963.52x = 1,329.26 × 712.04
  4. Step 4: Simplify right side
    963.52x = 946,491.39
  5. Step 5: Solve for x
    x = 946,491.39/963.52
  6. Step 6: Final answer
    x = 982.33

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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.