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Finding the Fourth Proportional to 871.84, 1,305.20 and 527.52

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Solution

The fourth proportional to 871.84, 1,305.20 and 527.52 is: 789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.84 : 1,305.20 = 527.52 : x
  2. Step 2: Convert to fraction form
    871.84/1,305.20 = 527.52/x
  3. Step 3: Cross multiply
    871.84x = 1,305.20 × 527.52
  4. Step 4: Simplify right side
    871.84x = 688,519.10
  5. Step 5: Solve for x
    x = 688,519.10/871.84
  6. Step 6: Final answer
    x = 789.73

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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.