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Finding the Fourth Proportional to 872.30, 1,306.05 and 829.10

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Solution

The fourth proportional to 872.30, 1,306.05 and 829.10 is: 1,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.30 : 1,306.05 = 829.10 : x
  2. Step 2: Convert to fraction form
    872.30/1,306.05 = 829.10/x
  3. Step 3: Cross multiply
    872.30x = 1,306.05 × 829.10
  4. Step 4: Simplify right side
    872.30x = 1,082,846.06
  5. Step 5: Solve for x
    x = 1,082,846.06/872.30
  6. Step 6: Final answer
    x = 1,241.37

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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.