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Finding the Fourth Proportional to 1,143.12, 1,714.68 and 363.09

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Solution

The fourth proportional to 1,143.12, 1,714.68 and 363.09 is: 544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.12 : 1,714.68 = 363.09 : x
  2. Step 2: Convert to fraction form
    1,143.12/1,714.68 = 363.09/x
  3. Step 3: Cross multiply
    1,143.12x = 1,714.68 × 363.09
  4. Step 4: Simplify right side
    1,143.12x = 622,583.16
  5. Step 5: Solve for x
    x = 622,583.16/1,143.12
  6. Step 6: Final answer
    x = 544.64

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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.