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Finding the Fourth Proportional to 1,143.24, 1,714.69 and 363.14

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Solution

The fourth proportional to 1,143.24, 1,714.69 and 363.14 is: 544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.24 : 1,714.69 = 363.14 : x
  2. Step 2: Convert to fraction form
    1,143.24/1,714.69 = 363.14/x
  3. Step 3: Cross multiply
    1,143.24x = 1,714.69 × 363.14
  4. Step 4: Simplify right side
    1,143.24x = 622,675.81
  5. Step 5: Solve for x
    x = 622,675.81/1,143.24
  6. Step 6: Final answer
    x = 544.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.