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Finding the Fourth Proportional to 733.01, 1,099.52 and 294.47

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Solution

The fourth proportional to 733.01, 1,099.52 and 294.47 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.01 : 1,099.52 = 294.47 : x
  2. Step 2: Convert to fraction form
    733.01/1,099.52 = 294.47/x
  3. Step 3: Cross multiply
    733.01x = 1,099.52 × 294.47
  4. Step 4: Simplify right side
    733.01x = 323,770.89
  5. Step 5: Solve for x
    x = 323,770.89/733.01
  6. Step 6: Final answer
    x = 441.70

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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.