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Finding the Fourth Proportional to 871.34, 1,307.14 and 323.42

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Solution

The fourth proportional to 871.34, 1,307.14 and 323.42 is: 485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.34 : 1,307.14 = 323.42 : x
  2. Step 2: Convert to fraction form
    871.34/1,307.14 = 323.42/x
  3. Step 3: Cross multiply
    871.34x = 1,307.14 × 323.42
  4. Step 4: Simplify right side
    871.34x = 422,755.22
  5. Step 5: Solve for x
    x = 422,755.22/871.34
  6. Step 6: Final answer
    x = 485.18

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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.