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Finding the Fourth Proportional to 723.52, 1,083.84 and 620.80

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Solution

The fourth proportional to 723.52, 1,083.84 and 620.80 is: 929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.52 : 1,083.84 = 620.80 : x
  2. Step 2: Convert to fraction form
    723.52/1,083.84 = 620.80/x
  3. Step 3: Cross multiply
    723.52x = 1,083.84 × 620.80
  4. Step 4: Simplify right side
    723.52x = 672,847.87
  5. Step 5: Solve for x
    x = 672,847.87/723.52
  6. Step 6: Final answer
    x = 929.96

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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.