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Finding the Fourth Proportional to 712.91, 1,069.09 and 225.83

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Solution

The fourth proportional to 712.91, 1,069.09 and 225.83 is: 338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.91 : 1,069.09 = 225.83 : x
  2. Step 2: Convert to fraction form
    712.91/1,069.09 = 225.83/x
  3. Step 3: Cross multiply
    712.91x = 1,069.09 × 225.83
  4. Step 4: Simplify right side
    712.91x = 241,432.59
  5. Step 5: Solve for x
    x = 241,432.59/712.91
  6. Step 6: Final answer
    x = 338.66

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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.