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Finding the Fourth Proportional to 746.23, 1,029.63 and 451.49

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Solution

The fourth proportional to 746.23, 1,029.63 and 451.49 is: 622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.23 : 1,029.63 = 451.49 : x
  2. Step 2: Convert to fraction form
    746.23/1,029.63 = 451.49/x
  3. Step 3: Cross multiply
    746.23x = 1,029.63 × 451.49
  4. Step 4: Simplify right side
    746.23x = 464,867.65
  5. Step 5: Solve for x
    x = 464,867.65/746.23
  6. Step 6: Final answer
    x = 622.95

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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.