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Finding the Fourth Proportional to 733.46, 1,100.03 and 246.50

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Solution

The fourth proportional to 733.46, 1,100.03 and 246.50 is: 369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.46 : 1,100.03 = 246.50 : x
  2. Step 2: Convert to fraction form
    733.46/1,100.03 = 246.50/x
  3. Step 3: Cross multiply
    733.46x = 1,100.03 × 246.50
  4. Step 4: Simplify right side
    733.46x = 271,157.40
  5. Step 5: Solve for x
    x = 271,157.40/733.46
  6. Step 6: Final answer
    x = 369.70

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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.