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Finding the Fourth Proportional to 928.92, 1,281.30 and 596.82

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Solution

The fourth proportional to 928.92, 1,281.30 and 596.82 is: 823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.92 : 1,281.30 = 596.82 : x
  2. Step 2: Convert to fraction form
    928.92/1,281.30 = 596.82/x
  3. Step 3: Cross multiply
    928.92x = 1,281.30 × 596.82
  4. Step 4: Simplify right side
    928.92x = 764,705.47
  5. Step 5: Solve for x
    x = 764,705.47/928.92
  6. Step 6: Final answer
    x = 823.22

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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.