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Finding the Fourth Proportional to 871.90, 1,307.84 and 323.44

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Solution

The fourth proportional to 871.90, 1,307.84 and 323.44 is: 485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.90 : 1,307.84 = 323.44 : x
  2. Step 2: Convert to fraction form
    871.90/1,307.84 = 323.44/x
  3. Step 3: Cross multiply
    871.90x = 1,307.84 × 323.44
  4. Step 4: Simplify right side
    871.90x = 423,007.77
  5. Step 5: Solve for x
    x = 423,007.77/871.90
  6. Step 6: Final answer
    x = 485.16

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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.