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Finding the Fourth Proportional to 550.44, 824.70 and 513

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Solution

The fourth proportional to 550.44, 824.70 and 513 is: 768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.44 : 824.70 = 513 : x
  2. Step 2: Convert to fraction form
    550.44/824.70 = 513/x
  3. Step 3: Cross multiply
    550.44x = 824.70 × 513
  4. Step 4: Simplify right side
    550.44x = 423,071.10
  5. Step 5: Solve for x
    x = 423,071.10/550.44
  6. Step 6: Final answer
    x = 768.61

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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.