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Finding the Fourth Proportional to 734.81, 1,102.19 and 410.09

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Solution

The fourth proportional to 734.81, 1,102.19 and 410.09 is: 615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.81 : 1,102.19 = 410.09 : x
  2. Step 2: Convert to fraction form
    734.81/1,102.19 = 410.09/x
  3. Step 3: Cross multiply
    734.81x = 1,102.19 × 410.09
  4. Step 4: Simplify right side
    734.81x = 451,989.54
  5. Step 5: Solve for x
    x = 451,989.54/734.81
  6. Step 6: Final answer
    x = 615.11

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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.