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Finding the Fourth Proportional to 743.88, 1,026.68 and 481.72

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Solution

The fourth proportional to 743.88, 1,026.68 and 481.72 is: 664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.88 : 1,026.68 = 481.72 : x
  2. Step 2: Convert to fraction form
    743.88/1,026.68 = 481.72/x
  3. Step 3: Cross multiply
    743.88x = 1,026.68 × 481.72
  4. Step 4: Simplify right side
    743.88x = 494,572.29
  5. Step 5: Solve for x
    x = 494,572.29/743.88
  6. Step 6: Final answer
    x = 664.85

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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.