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Finding the Fourth Proportional to 746.28, 1,029.58 and 451.37

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Solution

The fourth proportional to 746.28, 1,029.58 and 451.37 is: 622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.28 : 1,029.58 = 451.37 : x
  2. Step 2: Convert to fraction form
    746.28/1,029.58 = 451.37/x
  3. Step 3: Cross multiply
    746.28x = 1,029.58 × 451.37
  4. Step 4: Simplify right side
    746.28x = 464,722.97
  5. Step 5: Solve for x
    x = 464,722.97/746.28
  6. Step 6: Final answer
    x = 622.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.