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Finding the Fourth Proportional to 734.15, 1,101.39 and 426.26

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Solution

The fourth proportional to 734.15, 1,101.39 and 426.26 is: 639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.15 : 1,101.39 = 426.26 : x
  2. Step 2: Convert to fraction form
    734.15/1,101.39 = 426.26/x
  3. Step 3: Cross multiply
    734.15x = 1,101.39 × 426.26
  4. Step 4: Simplify right side
    734.15x = 469,471.40
  5. Step 5: Solve for x
    x = 469,471.40/734.15
  6. Step 6: Final answer
    x = 639.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.