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Finding the Fourth Proportional to 680.73, 1,019.55 and 416.49

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Solution

The fourth proportional to 680.73, 1,019.55 and 416.49 is: 623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.73 : 1,019.55 = 416.49 : x
  2. Step 2: Convert to fraction form
    680.73/1,019.55 = 416.49/x
  3. Step 3: Cross multiply
    680.73x = 1,019.55 × 416.49
  4. Step 4: Simplify right side
    680.73x = 424,632.38
  5. Step 5: Solve for x
    x = 424,632.38/680.73
  6. Step 6: Final answer
    x = 623.79

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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.