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Finding the Fourth Proportional to 930.75, 1,285.26 and 699.09

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Solution

The fourth proportional to 930.75, 1,285.26 and 699.09 is: 965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.75 : 1,285.26 = 699.09 : x
  2. Step 2: Convert to fraction form
    930.75/1,285.26 = 699.09/x
  3. Step 3: Cross multiply
    930.75x = 1,285.26 × 699.09
  4. Step 4: Simplify right side
    930.75x = 898,512.41
  5. Step 5: Solve for x
    x = 898,512.41/930.75
  6. Step 6: Final answer
    x = 965.36

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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.