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Finding the Fourth Proportional to 680.94, 1,021.50 and 672.30

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Solution

The fourth proportional to 680.94, 1,021.50 and 672.30 is: 1,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.94 : 1,021.50 = 672.30 : x
  2. Step 2: Convert to fraction form
    680.94/1,021.50 = 672.30/x
  3. Step 3: Cross multiply
    680.94x = 1,021.50 × 672.30
  4. Step 4: Simplify right side
    680.94x = 686,754.45
  5. Step 5: Solve for x
    x = 686,754.45/680.94
  6. Step 6: Final answer
    x = 1,008.54

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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.