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Finding the Fourth Proportional to 928.11, 1,280.61 and 596.49

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Solution

The fourth proportional to 928.11, 1,280.61 and 596.49 is: 823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.11 : 1,280.61 = 596.49 : x
  2. Step 2: Convert to fraction form
    928.11/1,280.61 = 596.49/x
  3. Step 3: Cross multiply
    928.11x = 1,280.61 × 596.49
  4. Step 4: Simplify right side
    928.11x = 763,869.86
  5. Step 5: Solve for x
    x = 763,869.86/928.11
  6. Step 6: Final answer
    x = 823.04

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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.