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Finding the Fourth Proportional to 734.05, 1,101.26 and 518.05

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Solution

The fourth proportional to 734.05, 1,101.26 and 518.05 is: 777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.05 : 1,101.26 = 518.05 : x
  2. Step 2: Convert to fraction form
    734.05/1,101.26 = 518.05/x
  3. Step 3: Cross multiply
    734.05x = 1,101.26 × 518.05
  4. Step 4: Simplify right side
    734.05x = 570,507.74
  5. Step 5: Solve for x
    x = 570,507.74/734.05
  6. Step 6: Final answer
    x = 777.21

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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.