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Finding the Fourth Proportional to 733.02, 1,099.17 and 342.90

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Solution

The fourth proportional to 733.02, 1,099.17 and 342.90 is: 514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.02 : 1,099.17 = 342.90 : x
  2. Step 2: Convert to fraction form
    733.02/1,099.17 = 342.90/x
  3. Step 3: Cross multiply
    733.02x = 1,099.17 × 342.90
  4. Step 4: Simplify right side
    733.02x = 376,905.39
  5. Step 5: Solve for x
    x = 376,905.39/733.02
  6. Step 6: Final answer
    x = 514.18

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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.