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Finding the Fourth Proportional to 1,264.50, 1,896.06 and 680.20

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Solution

The fourth proportional to 1,264.50, 1,896.06 and 680.20 is: 1,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.50 : 1,896.06 = 680.20 : x
  2. Step 2: Convert to fraction form
    1,264.50/1,896.06 = 680.20/x
  3. Step 3: Cross multiply
    1,264.50x = 1,896.06 × 680.20
  4. Step 4: Simplify right side
    1,264.50x = 1,289,700.01
  5. Step 5: Solve for x
    x = 1,289,700.01/1,264.50
  6. Step 6: Final answer
    x = 1,019.93

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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.