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Finding the Fourth Proportional to 723.90, 1,083.93 and 663.75

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Solution

The fourth proportional to 723.90, 1,083.93 and 663.75 is: 993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.90 : 1,083.93 = 663.75 : x
  2. Step 2: Convert to fraction form
    723.90/1,083.93 = 663.75/x
  3. Step 3: Cross multiply
    723.90x = 1,083.93 × 663.75
  4. Step 4: Simplify right side
    723.90x = 719,458.54
  5. Step 5: Solve for x
    x = 719,458.54/723.90
  6. Step 6: Final answer
    x = 993.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.