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Finding the Fourth Proportional to 723, 1,083.57 and 332.97

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Solution

The fourth proportional to 723, 1,083.57 and 332.97 is: 499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    723 : 1,083.57 = 332.97 : x
  2. Step 2: Convert to fraction form
    723/1,083.57 = 332.97/x
  3. Step 3: Cross multiply
    723x = 1,083.57 × 332.97
  4. Step 4: Simplify right side
    723x = 360,796.30
  5. Step 5: Solve for x
    x = 360,796.30/723
  6. Step 6: Final answer
    x = 499.03

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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.