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Finding the Fourth Proportional to 723.93, 1,085.22 and 394.38

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Solution

The fourth proportional to 723.93, 1,085.22 and 394.38 is: 591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.93 : 1,085.22 = 394.38 : x
  2. Step 2: Convert to fraction form
    723.93/1,085.22 = 394.38/x
  3. Step 3: Cross multiply
    723.93x = 1,085.22 × 394.38
  4. Step 4: Simplify right side
    723.93x = 427,991.70
  5. Step 5: Solve for x
    x = 427,991.70/723.93
  6. Step 6: Final answer
    x = 591.20

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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.