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Finding the Fourth Proportional to 734.96, 1,102.54 and 345.36

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Solution

The fourth proportional to 734.96, 1,102.54 and 345.36 is: 518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.96 : 1,102.54 = 345.36 : x
  2. Step 2: Convert to fraction form
    734.96/1,102.54 = 345.36/x
  3. Step 3: Cross multiply
    734.96x = 1,102.54 × 345.36
  4. Step 4: Simplify right side
    734.96x = 380,773.21
  5. Step 5: Solve for x
    x = 380,773.21/734.96
  6. Step 6: Final answer
    x = 518.09

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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.