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Finding the Fourth Proportional to 822.81, 1,234.25 and 245.69

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Solution

The fourth proportional to 822.81, 1,234.25 and 245.69 is: 368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.81 : 1,234.25 = 245.69 : x
  2. Step 2: Convert to fraction form
    822.81/1,234.25 = 245.69/x
  3. Step 3: Cross multiply
    822.81x = 1,234.25 × 245.69
  4. Step 4: Simplify right side
    822.81x = 303,242.88
  5. Step 5: Solve for x
    x = 303,242.88/822.81
  6. Step 6: Final answer
    x = 368.55

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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.