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Finding the Fourth Proportional to 822.06, 1,231.38 and 411.12

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Solution

The fourth proportional to 822.06, 1,231.38 and 411.12 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.06 : 1,231.38 = 411.12 : x
  2. Step 2: Convert to fraction form
    822.06/1,231.38 = 411.12/x
  3. Step 3: Cross multiply
    822.06x = 1,231.38 × 411.12
  4. Step 4: Simplify right side
    822.06x = 506,244.95
  5. Step 5: Solve for x
    x = 506,244.95/822.06
  6. Step 6: Final answer
    x = 615.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.