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Finding the Fourth Proportional to 871.76, 1,201.26 and 810.25

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Solution

The fourth proportional to 871.76, 1,201.26 and 810.25 is: 1,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.76 : 1,201.26 = 810.25 : x
  2. Step 2: Convert to fraction form
    871.76/1,201.26 = 810.25/x
  3. Step 3: Cross multiply
    871.76x = 1,201.26 × 810.25
  4. Step 4: Simplify right side
    871.76x = 973,310.86
  5. Step 5: Solve for x
    x = 973,310.86/871.76
  6. Step 6: Final answer
    x = 1,116.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.