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Finding the Fourth Proportional to 734.22, 1,101.60 and 409.86

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Solution

The fourth proportional to 734.22, 1,101.60 and 409.86 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.22 : 1,101.60 = 409.86 : x
  2. Step 2: Convert to fraction form
    734.22/1,101.60 = 409.86/x
  3. Step 3: Cross multiply
    734.22x = 1,101.60 × 409.86
  4. Step 4: Simplify right side
    734.22x = 451,501.78
  5. Step 5: Solve for x
    x = 451,501.78/734.22
  6. Step 6: Final answer
    x = 614.94

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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.