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Finding the Fourth Proportional to 930.24, 1,283.76 and 696.96

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Solution

The fourth proportional to 930.24, 1,283.76 and 696.96 is: 961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.24 : 1,283.76 = 696.96 : x
  2. Step 2: Convert to fraction form
    930.24/1,283.76 = 696.96/x
  3. Step 3: Cross multiply
    930.24x = 1,283.76 × 696.96
  4. Step 4: Simplify right side
    930.24x = 894,729.37
  5. Step 5: Solve for x
    x = 894,729.37/930.24
  6. Step 6: Final answer
    x = 961.83

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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.