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Finding the Fourth Proportional to 822.26, 1,134.81 and 519.87

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Solution

The fourth proportional to 822.26, 1,134.81 and 519.87 is: 717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.26 : 1,134.81 = 519.87 : x
  2. Step 2: Convert to fraction form
    822.26/1,134.81 = 519.87/x
  3. Step 3: Cross multiply
    822.26x = 1,134.81 × 519.87
  4. Step 4: Simplify right side
    822.26x = 589,953.67
  5. Step 5: Solve for x
    x = 589,953.67/822.26
  6. Step 6: Final answer
    x = 717.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.