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Finding the Fourth Proportional to 754.28, 1,131.42 and 429.80

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Solution

The fourth proportional to 754.28, 1,131.42 and 429.80 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.28 : 1,131.42 = 429.80 : x
  2. Step 2: Convert to fraction form
    754.28/1,131.42 = 429.80/x
  3. Step 3: Cross multiply
    754.28x = 1,131.42 × 429.80
  4. Step 4: Simplify right side
    754.28x = 486,284.32
  5. Step 5: Solve for x
    x = 486,284.32/754.28
  6. Step 6: Final answer
    x = 644.70

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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.