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Finding the Fourth Proportional to 680.25, 1,019.66 and 436.71

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Solution

The fourth proportional to 680.25, 1,019.66 and 436.71 is: 654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.25 : 1,019.66 = 436.71 : x
  2. Step 2: Convert to fraction form
    680.25/1,019.66 = 436.71/x
  3. Step 3: Cross multiply
    680.25x = 1,019.66 × 436.71
  4. Step 4: Simplify right side
    680.25x = 445,293.54
  5. Step 5: Solve for x
    x = 445,293.54/680.25
  6. Step 6: Final answer
    x = 654.60

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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.