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Finding the Fourth Proportional to 733.50, 1,011.93 and 481.34

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Solution

The fourth proportional to 733.50, 1,011.93 and 481.34 is: 664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,011.93 = 481.34 : x
  2. Step 2: Convert to fraction form
    733.50/1,011.93 = 481.34/x
  3. Step 3: Cross multiply
    733.50x = 1,011.93 × 481.34
  4. Step 4: Simplify right side
    733.50x = 487,077.33
  5. Step 5: Solve for x
    x = 487,077.33/733.50
  6. Step 6: Final answer
    x = 664.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.