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Finding the Fourth Proportional to 680.74, 938.14 and 613.66

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Solution

The fourth proportional to 680.74, 938.14 and 613.66 is: 845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.74 : 938.14 = 613.66 : x
  2. Step 2: Convert to fraction form
    680.74/938.14 = 613.66/x
  3. Step 3: Cross multiply
    680.74x = 938.14 × 613.66
  4. Step 4: Simplify right side
    680.74x = 575,698.99
  5. Step 5: Solve for x
    x = 575,698.99/680.74
  6. Step 6: Final answer
    x = 845.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.