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Finding the Fourth Proportional to 871.44, 1,307.73 and 579.27

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Solution

The fourth proportional to 871.44, 1,307.73 and 579.27 is: 869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.44 : 1,307.73 = 579.27 : x
  2. Step 2: Convert to fraction form
    871.44/1,307.73 = 579.27/x
  3. Step 3: Cross multiply
    871.44x = 1,307.73 × 579.27
  4. Step 4: Simplify right side
    871.44x = 757,528.76
  5. Step 5: Solve for x
    x = 757,528.76/871.44
  6. Step 6: Final answer
    x = 869.28

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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.