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Finding the Fourth Proportional to 871.54, 1,307.06 and 323.42

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Solution

The fourth proportional to 871.54, 1,307.06 and 323.42 is: 485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.54 : 1,307.06 = 323.42 : x
  2. Step 2: Convert to fraction form
    871.54/1,307.06 = 323.42/x
  3. Step 3: Cross multiply
    871.54x = 1,307.06 × 323.42
  4. Step 4: Simplify right side
    871.54x = 422,729.35
  5. Step 5: Solve for x
    x = 422,729.35/871.54
  6. Step 6: Final answer
    x = 485.04

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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.