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Finding the Fourth Proportional to 889.72, 1,233.01 and 872.44

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Solution

The fourth proportional to 889.72, 1,233.01 and 872.44 is: 1,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.72 : 1,233.01 = 872.44 : x
  2. Step 2: Convert to fraction form
    889.72/1,233.01 = 872.44/x
  3. Step 3: Cross multiply
    889.72x = 1,233.01 × 872.44
  4. Step 4: Simplify right side
    889.72x = 1,075,727.24
  5. Step 5: Solve for x
    x = 1,075,727.24/889.72
  6. Step 6: Final answer
    x = 1,209.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.