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Finding the Fourth Proportional to 871.21, 1,306.82 and 322.75

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Solution

The fourth proportional to 871.21, 1,306.82 and 322.75 is: 484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.21 : 1,306.82 = 322.75 : x
  2. Step 2: Convert to fraction form
    871.21/1,306.82 = 322.75/x
  3. Step 3: Cross multiply
    871.21x = 1,306.82 × 322.75
  4. Step 4: Simplify right side
    871.21x = 421,771.27
  5. Step 5: Solve for x
    x = 421,771.27/871.21
  6. Step 6: Final answer
    x = 484.12

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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.