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Finding the Fourth Proportional to 753.22, 1,129.92 and 205.46

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Solution

The fourth proportional to 753.22, 1,129.92 and 205.46 is: 308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.22 : 1,129.92 = 205.46 : x
  2. Step 2: Convert to fraction form
    753.22/1,129.92 = 205.46/x
  3. Step 3: Cross multiply
    753.22x = 1,129.92 × 205.46
  4. Step 4: Simplify right side
    753.22x = 232,153.36
  5. Step 5: Solve for x
    x = 232,153.36/753.22
  6. Step 6: Final answer
    x = 308.21

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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.