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Finding the Fourth Proportional to 680.75, 1,019.39 and 448.94

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Solution

The fourth proportional to 680.75, 1,019.39 and 448.94 is: 672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.75 : 1,019.39 = 448.94 : x
  2. Step 2: Convert to fraction form
    680.75/1,019.39 = 448.94/x
  3. Step 3: Cross multiply
    680.75x = 1,019.39 × 448.94
  4. Step 4: Simplify right side
    680.75x = 457,639.52
  5. Step 5: Solve for x
    x = 457,639.52/680.75
  6. Step 6: Final answer
    x = 672.26

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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.