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Finding the Fourth Proportional to 822.11, 1,233.39 and 359.93

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Solution

The fourth proportional to 822.11, 1,233.39 and 359.93 is: 539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.11 : 1,233.39 = 359.93 : x
  2. Step 2: Convert to fraction form
    822.11/1,233.39 = 359.93/x
  3. Step 3: Cross multiply
    822.11x = 1,233.39 × 359.93
  4. Step 4: Simplify right side
    822.11x = 443,934.06
  5. Step 5: Solve for x
    x = 443,934.06/822.11
  6. Step 6: Final answer
    x = 539.99

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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.