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Finding the Fourth Proportional to 822.25, 1,233.58 and 245.13

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Solution

The fourth proportional to 822.25, 1,233.58 and 245.13 is: 367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.25 : 1,233.58 = 245.13 : x
  2. Step 2: Convert to fraction form
    822.25/1,233.58 = 245.13/x
  3. Step 3: Cross multiply
    822.25x = 1,233.58 × 245.13
  4. Step 4: Simplify right side
    822.25x = 302,387.47
  5. Step 5: Solve for x
    x = 302,387.47/822.25
  6. Step 6: Final answer
    x = 367.76

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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.