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Finding the Fourth Proportional to 822.83, 1,234.23 and 237.84

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Solution

The fourth proportional to 822.83, 1,234.23 and 237.84 is: 356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.83 : 1,234.23 = 237.84 : x
  2. Step 2: Convert to fraction form
    822.83/1,234.23 = 237.84/x
  3. Step 3: Cross multiply
    822.83x = 1,234.23 × 237.84
  4. Step 4: Simplify right side
    822.83x = 293,549.26
  5. Step 5: Solve for x
    x = 293,549.26/822.83
  6. Step 6: Final answer
    x = 356.76

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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.