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Finding the Fourth Proportional to 822.01, 1,232.64 and 301.92

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Solution

The fourth proportional to 822.01, 1,232.64 and 301.92 is: 452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.01 : 1,232.64 = 301.92 : x
  2. Step 2: Convert to fraction form
    822.01/1,232.64 = 301.92/x
  3. Step 3: Cross multiply
    822.01x = 1,232.64 × 301.92
  4. Step 4: Simplify right side
    822.01x = 372,158.67
  5. Step 5: Solve for x
    x = 372,158.67/822.01
  6. Step 6: Final answer
    x = 452.74

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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.