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Finding the Fourth Proportional to 1,145.13, 1,717.80 and 323.43

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Solution

The fourth proportional to 1,145.13, 1,717.80 and 323.43 is: 485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.13 : 1,717.80 = 323.43 : x
  2. Step 2: Convert to fraction form
    1,145.13/1,717.80 = 323.43/x
  3. Step 3: Cross multiply
    1,145.13x = 1,717.80 × 323.43
  4. Step 4: Simplify right side
    1,145.13x = 555,588.05
  5. Step 5: Solve for x
    x = 555,588.05/1,145.13
  6. Step 6: Final answer
    x = 485.17

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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.