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Finding the Fourth Proportional to 963.09, 1,328.81 and 683.37

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Solution

The fourth proportional to 963.09, 1,328.81 and 683.37 is: 942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.09 : 1,328.81 = 683.37 : x
  2. Step 2: Convert to fraction form
    963.09/1,328.81 = 683.37/x
  3. Step 3: Cross multiply
    963.09x = 1,328.81 × 683.37
  4. Step 4: Simplify right side
    963.09x = 908,065.47
  5. Step 5: Solve for x
    x = 908,065.47/963.09
  6. Step 6: Final answer
    x = 942.87

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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.