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Finding the Fourth Proportional to 733.57, 1,100.34 and 300.72

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Solution

The fourth proportional to 733.57, 1,100.34 and 300.72 is: 451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.57 : 1,100.34 = 300.72 : x
  2. Step 2: Convert to fraction form
    733.57/1,100.34 = 300.72/x
  3. Step 3: Cross multiply
    733.57x = 1,100.34 × 300.72
  4. Step 4: Simplify right side
    733.57x = 330,894.24
  5. Step 5: Solve for x
    x = 330,894.24/733.57
  6. Step 6: Final answer
    x = 451.08

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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.