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Finding the Fourth Proportional to 822.35, 1,233.43 and 475.88

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Solution

The fourth proportional to 822.35, 1,233.43 and 475.88 is: 713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.35 : 1,233.43 = 475.88 : x
  2. Step 2: Convert to fraction form
    822.35/1,233.43 = 475.88/x
  3. Step 3: Cross multiply
    822.35x = 1,233.43 × 475.88
  4. Step 4: Simplify right side
    822.35x = 586,957.31
  5. Step 5: Solve for x
    x = 586,957.31/822.35
  6. Step 6: Final answer
    x = 713.75

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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.