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Finding the Fourth Proportional to 872.03, 1,195.60 and 856.44

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Solution

The fourth proportional to 872.03, 1,195.60 and 856.44 is: 1,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.03 : 1,195.60 = 856.44 : x
  2. Step 2: Convert to fraction form
    872.03/1,195.60 = 856.44/x
  3. Step 3: Cross multiply
    872.03x = 1,195.60 × 856.44
  4. Step 4: Simplify right side
    872.03x = 1,023,959.66
  5. Step 5: Solve for x
    x = 1,023,959.66/872.03
  6. Step 6: Final answer
    x = 1,174.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.