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Finding the Fourth Proportional to 733.86, 1,099.58 and 548.88

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Solution

The fourth proportional to 733.86, 1,099.58 and 548.88 is: 822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,099.58 = 548.88 : x
  2. Step 2: Convert to fraction form
    733.86/1,099.58 = 548.88/x
  3. Step 3: Cross multiply
    733.86x = 1,099.58 × 548.88
  4. Step 4: Simplify right side
    733.86x = 603,530.60
  5. Step 5: Solve for x
    x = 603,530.60/733.86
  6. Step 6: Final answer
    x = 822.41

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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.