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Finding the Fourth Proportional to 797.60, 1,194.35 and 551.57

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Solution

The fourth proportional to 797.60, 1,194.35 and 551.57 is: 825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.60 : 1,194.35 = 551.57 : x
  2. Step 2: Convert to fraction form
    797.60/1,194.35 = 551.57/x
  3. Step 3: Cross multiply
    797.60x = 1,194.35 × 551.57
  4. Step 4: Simplify right side
    797.60x = 658,758.90
  5. Step 5: Solve for x
    x = 658,758.90/797.60
  6. Step 6: Final answer
    x = 825.92

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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.