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Finding the Fourth Proportional to 930.23, 1,283.78 and 650.57

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Solution

The fourth proportional to 930.23, 1,283.78 and 650.57 is: 897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.23 : 1,283.78 = 650.57 : x
  2. Step 2: Convert to fraction form
    930.23/1,283.78 = 650.57/x
  3. Step 3: Cross multiply
    930.23x = 1,283.78 × 650.57
  4. Step 4: Simplify right side
    930.23x = 835,183.96
  5. Step 5: Solve for x
    x = 835,183.96/930.23
  6. Step 6: Final answer
    x = 897.82

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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.