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Finding the Fourth Proportional to 811.67, 1,217.93 and 519.33

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Solution

The fourth proportional to 811.67, 1,217.93 and 519.33 is: 779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.67 : 1,217.93 = 519.33 : x
  2. Step 2: Convert to fraction form
    811.67/1,217.93 = 519.33/x
  3. Step 3: Cross multiply
    811.67x = 1,217.93 × 519.33
  4. Step 4: Simplify right side
    811.67x = 632,500.42
  5. Step 5: Solve for x
    x = 632,500.42/811.67
  6. Step 6: Final answer
    x = 779.26

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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.