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Finding the Fourth Proportional to 872.11, 1,306.49 and 835.05

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Solution

The fourth proportional to 872.11, 1,306.49 and 835.05 is: 1,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.11 : 1,306.49 = 835.05 : x
  2. Step 2: Convert to fraction form
    872.11/1,306.49 = 835.05/x
  3. Step 3: Cross multiply
    872.11x = 1,306.49 × 835.05
  4. Step 4: Simplify right side
    872.11x = 1,090,984.47
  5. Step 5: Solve for x
    x = 1,090,984.47/872.11
  6. Step 6: Final answer
    x = 1,250.98

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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.