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Finding the Fourth Proportional to 822.54, 1,233.92 and 302.46

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Solution

The fourth proportional to 822.54, 1,233.92 and 302.46 is: 453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.54 : 1,233.92 = 302.46 : x
  2. Step 2: Convert to fraction form
    822.54/1,233.92 = 302.46/x
  3. Step 3: Cross multiply
    822.54x = 1,233.92 × 302.46
  4. Step 4: Simplify right side
    822.54x = 373,211.44
  5. Step 5: Solve for x
    x = 373,211.44/822.54
  6. Step 6: Final answer
    x = 453.73

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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.