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Finding the Fourth Proportional to 928.75, 1,282.08 and 680.08

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Solution

The fourth proportional to 928.75, 1,282.08 and 680.08 is: 938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.75 : 1,282.08 = 680.08 : x
  2. Step 2: Convert to fraction form
    928.75/1,282.08 = 680.08/x
  3. Step 3: Cross multiply
    928.75x = 1,282.08 × 680.08
  4. Step 4: Simplify right side
    928.75x = 871,916.97
  5. Step 5: Solve for x
    x = 871,916.97/928.75
  6. Step 6: Final answer
    x = 938.81

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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.