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Finding the Fourth Proportional to 822.92, 1,234.06 and 237.71

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Solution

The fourth proportional to 822.92, 1,234.06 and 237.71 is: 356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.92 : 1,234.06 = 237.71 : x
  2. Step 2: Convert to fraction form
    822.92/1,234.06 = 237.71/x
  3. Step 3: Cross multiply
    822.92x = 1,234.06 × 237.71
  4. Step 4: Simplify right side
    822.92x = 293,347.21
  5. Step 5: Solve for x
    x = 293,347.21/822.92
  6. Step 6: Final answer
    x = 356.47

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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.