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Finding the Fourth Proportional to 680.07, 1,020.26 and 484.58

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Solution

The fourth proportional to 680.07, 1,020.26 and 484.58 is: 726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.07 : 1,020.26 = 484.58 : x
  2. Step 2: Convert to fraction form
    680.07/1,020.26 = 484.58/x
  3. Step 3: Cross multiply
    680.07x = 1,020.26 × 484.58
  4. Step 4: Simplify right side
    680.07x = 494,392.49
  5. Step 5: Solve for x
    x = 494,392.49/680.07
  6. Step 6: Final answer
    x = 726.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.