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Finding the Fourth Proportional to 797.26, 1,194.28 and 407.24

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Solution

The fourth proportional to 797.26, 1,194.28 and 407.24 is: 610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.26 : 1,194.28 = 407.24 : x
  2. Step 2: Convert to fraction form
    797.26/1,194.28 = 407.24/x
  3. Step 3: Cross multiply
    797.26x = 1,194.28 × 407.24
  4. Step 4: Simplify right side
    797.26x = 486,358.59
  5. Step 5: Solve for x
    x = 486,358.59/797.26
  6. Step 6: Final answer
    x = 610.04

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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.