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Finding the Fourth Proportional to 734.46, 1,099.53 and 409.38

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Solution

The fourth proportional to 734.46, 1,099.53 and 409.38 is: 612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.46 : 1,099.53 = 409.38 : x
  2. Step 2: Convert to fraction form
    734.46/1,099.53 = 409.38/x
  3. Step 3: Cross multiply
    734.46x = 1,099.53 × 409.38
  4. Step 4: Simplify right side
    734.46x = 450,125.59
  5. Step 5: Solve for x
    x = 450,125.59/734.46
  6. Step 6: Final answer
    x = 612.87

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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.