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Finding the Fourth Proportional to 712.56, 1,068.96 and 225.48

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Solution

The fourth proportional to 712.56, 1,068.96 and 225.48 is: 338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.56 : 1,068.96 = 225.48 : x
  2. Step 2: Convert to fraction form
    712.56/1,068.96 = 225.48/x
  3. Step 3: Cross multiply
    712.56x = 1,068.96 × 225.48
  4. Step 4: Simplify right side
    712.56x = 241,029.10
  5. Step 5: Solve for x
    x = 241,029.10/712.56
  6. Step 6: Final answer
    x = 338.26

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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.