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Finding the Fourth Proportional to 822.34, 1,233.50 and 359.99

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Solution

The fourth proportional to 822.34, 1,233.50 and 359.99 is: 539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.34 : 1,233.50 = 359.99 : x
  2. Step 2: Convert to fraction form
    822.34/1,233.50 = 359.99/x
  3. Step 3: Cross multiply
    822.34x = 1,233.50 × 359.99
  4. Step 4: Simplify right side
    822.34x = 444,054.30
  5. Step 5: Solve for x
    x = 444,054.30/822.34
  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.