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Finding the Fourth Proportional to 928.28, 1,280.42 and 596.18

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Solution

The fourth proportional to 928.28, 1,280.42 and 596.18 is: 822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.28 : 1,280.42 = 596.18 : x
  2. Step 2: Convert to fraction form
    928.28/1,280.42 = 596.18/x
  3. Step 3: Cross multiply
    928.28x = 1,280.42 × 596.18
  4. Step 4: Simplify right side
    928.28x = 763,360.80
  5. Step 5: Solve for x
    x = 763,360.80/928.28
  6. Step 6: Final answer
    x = 822.34

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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.