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Finding the Fourth Proportional to 733.93, 1,101.12 and 323.08

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Solution

The fourth proportional to 733.93, 1,101.12 and 323.08 is: 484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.93 : 1,101.12 = 323.08 : x
  2. Step 2: Convert to fraction form
    733.93/1,101.12 = 323.08/x
  3. Step 3: Cross multiply
    733.93x = 1,101.12 × 323.08
  4. Step 4: Simplify right side
    733.93x = 355,749.85
  5. Step 5: Solve for x
    x = 355,749.85/733.93
  6. Step 6: Final answer
    x = 484.72

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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.