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Finding the Fourth Proportional to 725.95, 1,089.37 and 315.09

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Solution

The fourth proportional to 725.95, 1,089.37 and 315.09 is: 472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.95 : 1,089.37 = 315.09 : x
  2. Step 2: Convert to fraction form
    725.95/1,089.37 = 315.09/x
  3. Step 3: Cross multiply
    725.95x = 1,089.37 × 315.09
  4. Step 4: Simplify right side
    725.95x = 343,250.87
  5. Step 5: Solve for x
    x = 343,250.87/725.95
  6. Step 6: Final answer
    x = 472.83

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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.