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Finding the Fourth Proportional to 822.13, 1,233.73 and 309.13

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Solution

The fourth proportional to 822.13, 1,233.73 and 309.13 is: 463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.13 : 1,233.73 = 309.13 : x
  2. Step 2: Convert to fraction form
    822.13/1,233.73 = 309.13/x
  3. Step 3: Cross multiply
    822.13x = 1,233.73 × 309.13
  4. Step 4: Simplify right side
    822.13x = 381,382.95
  5. Step 5: Solve for x
    x = 381,382.95/822.13
  6. Step 6: Final answer
    x = 463.90

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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.