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Finding the Fourth Proportional to 735.05, 1,102.19 and 387.56

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Solution

The fourth proportional to 735.05, 1,102.19 and 387.56 is: 581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.05 : 1,102.19 = 387.56 : x
  2. Step 2: Convert to fraction form
    735.05/1,102.19 = 387.56/x
  3. Step 3: Cross multiply
    735.05x = 1,102.19 × 387.56
  4. Step 4: Simplify right side
    735.05x = 427,165.57
  5. Step 5: Solve for x
    x = 427,165.57/735.05
  6. Step 6: Final answer
    x = 581.14

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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.