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Finding the Fourth Proportional to 928.21, 1,280.20 and 596.67

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Solution

The fourth proportional to 928.21, 1,280.20 and 596.67 is: 822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.21 : 1,280.20 = 596.67 : x
  2. Step 2: Convert to fraction form
    928.21/1,280.20 = 596.67/x
  3. Step 3: Cross multiply
    928.21x = 1,280.20 × 596.67
  4. Step 4: Simplify right side
    928.21x = 763,856.93
  5. Step 5: Solve for x
    x = 763,856.93/928.21
  6. Step 6: Final answer
    x = 822.94

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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.