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Finding the Fourth Proportional to 723.63, 1,083.24 and 398.01

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Solution

The fourth proportional to 723.63, 1,083.24 and 398.01 is: 595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.63 : 1,083.24 = 398.01 : x
  2. Step 2: Convert to fraction form
    723.63/1,083.24 = 398.01/x
  3. Step 3: Cross multiply
    723.63x = 1,083.24 × 398.01
  4. Step 4: Simplify right side
    723.63x = 431,140.35
  5. Step 5: Solve for x
    x = 431,140.35/723.63
  6. Step 6: Final answer
    x = 595.80

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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.