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Finding the Fourth Proportional to 871.80, 1,308.12 and 433.09

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Solution

The fourth proportional to 871.80, 1,308.12 and 433.09 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.80 : 1,308.12 = 433.09 : x
  2. Step 2: Convert to fraction form
    871.80/1,308.12 = 433.09/x
  3. Step 3: Cross multiply
    871.80x = 1,308.12 × 433.09
  4. Step 4: Simplify right side
    871.80x = 566,533.70
  5. Step 5: Solve for x
    x = 566,533.70/871.80
  6. Step 6: Final answer
    x = 649.85

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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.