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Finding the Fourth Proportional to 819, 1,229.26 and 509.93

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Solution

The fourth proportional to 819, 1,229.26 and 509.93 is: 765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    819 : 1,229.26 = 509.93 : x
  2. Step 2: Convert to fraction form
    819/1,229.26 = 509.93/x
  3. Step 3: Cross multiply
    819x = 1,229.26 × 509.93
  4. Step 4: Simplify right side
    819x = 626,836.55
  5. Step 5: Solve for x
    x = 626,836.55/819
  6. Step 6: Final answer
    x = 765.37

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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.