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Finding the Fourth Proportional to 723.62, 1,085.44 and 398.28

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Solution

The fourth proportional to 723.62, 1,085.44 and 398.28 is: 597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 1,085.44 = 398.28 : x
  2. Step 2: Convert to fraction form
    723.62/1,085.44 = 398.28/x
  3. Step 3: Cross multiply
    723.62x = 1,085.44 × 398.28
  4. Step 4: Simplify right side
    723.62x = 432,309.04
  5. Step 5: Solve for x
    x = 432,309.04/723.62
  6. Step 6: Final answer
    x = 597.43

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