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Finding the Fourth Proportional to 1,549.05, 2,324.18 and 682.75

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Solution

The fourth proportional to 1,549.05, 2,324.18 and 682.75 is: 1,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.05 : 2,324.18 = 682.75 : x
  2. Step 2: Convert to fraction form
    1,549.05/2,324.18 = 682.75/x
  3. Step 3: Cross multiply
    1,549.05x = 2,324.18 × 682.75
  4. Step 4: Simplify right side
    1,549.05x = 1,586,833.90
  5. Step 5: Solve for x
    x = 1,586,833.90/1,549.05
  6. Step 6: Final answer
    x = 1,024.39

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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.