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Finding the Fourth Proportional to 1,145.12, 1,717.67 and 323.37

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Solution

The fourth proportional to 1,145.12, 1,717.67 and 323.37 is: 485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.12 : 1,717.67 = 323.37 : x
  2. Step 2: Convert to fraction form
    1,145.12/1,717.67 = 323.37/x
  3. Step 3: Cross multiply
    1,145.12x = 1,717.67 × 323.37
  4. Step 4: Simplify right side
    1,145.12x = 555,441.33
  5. Step 5: Solve for x
    x = 555,441.33/1,145.12
  6. Step 6: Final answer
    x = 485.05

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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.