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Finding the Fourth Proportional to 743.92, 1,026.71 and 449.26

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Solution

The fourth proportional to 743.92, 1,026.71 and 449.26 is: 620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.92 : 1,026.71 = 449.26 : x
  2. Step 2: Convert to fraction form
    743.92/1,026.71 = 449.26/x
  3. Step 3: Cross multiply
    743.92x = 1,026.71 × 449.26
  4. Step 4: Simplify right side
    743.92x = 461,259.73
  5. Step 5: Solve for x
    x = 461,259.73/743.92
  6. Step 6: Final answer
    x = 620.04

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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.