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Finding the Fourth Proportional to 796.16, 1,194.85 and 681.95

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Solution

The fourth proportional to 796.16, 1,194.85 and 681.95 is: 1,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.16 : 1,194.85 = 681.95 : x
  2. Step 2: Convert to fraction form
    796.16/1,194.85 = 681.95/x
  3. Step 3: Cross multiply
    796.16x = 1,194.85 × 681.95
  4. Step 4: Simplify right side
    796.16x = 814,831.80
  5. Step 5: Solve for x
    x = 814,831.80/796.16
  6. Step 6: Final answer
    x = 1,023.45

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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.