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Finding the Fourth Proportional to 723.06, 1,083.51 and 397.98

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Solution

The fourth proportional to 723.06, 1,083.51 and 397.98 is: 596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.06 : 1,083.51 = 397.98 : x
  2. Step 2: Convert to fraction form
    723.06/1,083.51 = 397.98/x
  3. Step 3: Cross multiply
    723.06x = 1,083.51 × 397.98
  4. Step 4: Simplify right side
    723.06x = 431,215.31
  5. Step 5: Solve for x
    x = 431,215.31/723.06
  6. Step 6: Final answer
    x = 596.38

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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.