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Finding the Fourth Proportional to 747.32, 1,120.97 and 234.32

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Solution

The fourth proportional to 747.32, 1,120.97 and 234.32 is: 351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.32 : 1,120.97 = 234.32 : x
  2. Step 2: Convert to fraction form
    747.32/1,120.97 = 234.32/x
  3. Step 3: Cross multiply
    747.32x = 1,120.97 × 234.32
  4. Step 4: Simplify right side
    747.32x = 262,664.52
  5. Step 5: Solve for x
    x = 262,664.52/747.32
  6. Step 6: Final answer
    x = 351.48

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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.