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Finding the Fourth Proportional to 733.17, 1,099.14 and 342.97

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Solution

The fourth proportional to 733.17, 1,099.14 and 342.97 is: 514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.17 : 1,099.14 = 342.97 : x
  2. Step 2: Convert to fraction form
    733.17/1,099.14 = 342.97/x
  3. Step 3: Cross multiply
    733.17x = 1,099.14 × 342.97
  4. Step 4: Simplify right side
    733.17x = 376,972.13
  5. Step 5: Solve for x
    x = 376,972.13/733.17
  6. Step 6: Final answer
    x = 514.17

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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.