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Finding the Fourth Proportional to 746.22, 1,029.58 and 451.42

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Solution

The fourth proportional to 746.22, 1,029.58 and 451.42 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.22 : 1,029.58 = 451.42 : x
  2. Step 2: Convert to fraction form
    746.22/1,029.58 = 451.42/x
  3. Step 3: Cross multiply
    746.22x = 1,029.58 × 451.42
  4. Step 4: Simplify right side
    746.22x = 464,773.00
  5. Step 5: Solve for x
    x = 464,773.00/746.22
  6. Step 6: Final answer
    x = 622.84

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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.