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Finding the Fourth Proportional to 722.48, 1,083.26 and 398.07

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Solution

The fourth proportional to 722.48, 1,083.26 and 398.07 is: 596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.48 : 1,083.26 = 398.07 : x
  2. Step 2: Convert to fraction form
    722.48/1,083.26 = 398.07/x
  3. Step 3: Cross multiply
    722.48x = 1,083.26 × 398.07
  4. Step 4: Simplify right side
    722.48x = 431,216.79
  5. Step 5: Solve for x
    x = 431,216.79/722.48
  6. Step 6: Final answer
    x = 596.86

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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.