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Finding the Fourth Proportional to 755, 1,132.48 and 429.68

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Solution

The fourth proportional to 755, 1,132.48 and 429.68 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    755 : 1,132.48 = 429.68 : x
  2. Step 2: Convert to fraction form
    755/1,132.48 = 429.68/x
  3. Step 3: Cross multiply
    755x = 1,132.48 × 429.68
  4. Step 4: Simplify right side
    755x = 486,604.01
  5. Step 5: Solve for x
    x = 486,604.01/755
  6. Step 6: Final answer
    x = 644.51

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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.