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Finding the Fourth Proportional to 1,143.46, 1,713.36 and 680.14

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Solution

The fourth proportional to 1,143.46, 1,713.36 and 680.14 is: 1,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.46 : 1,713.36 = 680.14 : x
  2. Step 2: Convert to fraction form
    1,143.46/1,713.36 = 680.14/x
  3. Step 3: Cross multiply
    1,143.46x = 1,713.36 × 680.14
  4. Step 4: Simplify right side
    1,143.46x = 1,165,324.67
  5. Step 5: Solve for x
    x = 1,165,324.67/1,143.46
  6. Step 6: Final answer
    x = 1,019.12

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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.