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Finding the Fourth Proportional to 725.99, 1,089.41 and 315.12

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Solution

The fourth proportional to 725.99, 1,089.41 and 315.12 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.99 : 1,089.41 = 315.12 : x
  2. Step 2: Convert to fraction form
    725.99/1,089.41 = 315.12/x
  3. Step 3: Cross multiply
    725.99x = 1,089.41 × 315.12
  4. Step 4: Simplify right side
    725.99x = 343,295.67
  5. Step 5: Solve for x
    x = 343,295.67/725.99
  6. Step 6: Final answer
    x = 472.87

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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.