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Finding the Fourth Proportional to 746.05, 1,029.28 and 451.21

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Solution

The fourth proportional to 746.05, 1,029.28 and 451.21 is: 622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.05 : 1,029.28 = 451.21 : x
  2. Step 2: Convert to fraction form
    746.05/1,029.28 = 451.21/x
  3. Step 3: Cross multiply
    746.05x = 1,029.28 × 451.21
  4. Step 4: Simplify right side
    746.05x = 464,421.43
  5. Step 5: Solve for x
    x = 464,421.43/746.05
  6. Step 6: Final answer
    x = 622.51

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