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Finding the Fourth Proportional to 871.55, 1,308.75 and 827.71

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Solution

The fourth proportional to 871.55, 1,308.75 and 827.71 is: 1,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.55 : 1,308.75 = 827.71 : x
  2. Step 2: Convert to fraction form
    871.55/1,308.75 = 827.71/x
  3. Step 3: Cross multiply
    871.55x = 1,308.75 × 827.71
  4. Step 4: Simplify right side
    871.55x = 1,083,265.46
  5. Step 5: Solve for x
    x = 1,083,265.46/871.55
  6. Step 6: Final answer
    x = 1,242.92

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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.