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Finding the Fourth Proportional to 733.13, 1,099.63 and 246.19

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Solution

The fourth proportional to 733.13, 1,099.63 and 246.19 is: 369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.13 : 1,099.63 = 246.19 : x
  2. Step 2: Convert to fraction form
    733.13/1,099.63 = 246.19/x
  3. Step 3: Cross multiply
    733.13x = 1,099.63 × 246.19
  4. Step 4: Simplify right side
    733.13x = 270,718.22
  5. Step 5: Solve for x
    x = 270,718.22/733.13
  6. Step 6: Final answer
    x = 369.26

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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.