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Finding the Fourth Proportional to 733.24, 1,099.86 and 444.34

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Solution

The fourth proportional to 733.24, 1,099.86 and 444.34 is: 666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.24 : 1,099.86 = 444.34 : x
  2. Step 2: Convert to fraction form
    733.24/1,099.86 = 444.34/x
  3. Step 3: Cross multiply
    733.24x = 1,099.86 × 444.34
  4. Step 4: Simplify right side
    733.24x = 488,711.79
  5. Step 5: Solve for x
    x = 488,711.79/733.24
  6. Step 6: Final answer
    x = 666.51

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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.