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Finding the Fourth Proportional to 693.48, 1,039.55 and 230.97

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Solution

The fourth proportional to 693.48, 1,039.55 and 230.97 is: 346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.48 : 1,039.55 = 230.97 : x
  2. Step 2: Convert to fraction form
    693.48/1,039.55 = 230.97/x
  3. Step 3: Cross multiply
    693.48x = 1,039.55 × 230.97
  4. Step 4: Simplify right side
    693.48x = 240,104.86
  5. Step 5: Solve for x
    x = 240,104.86/693.48
  6. Step 6: Final answer
    x = 346.23

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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.