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Finding the Fourth Proportional to 797.87, 1,195.58 and 364.52

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Solution

The fourth proportional to 797.87, 1,195.58 and 364.52 is: 546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.87 : 1,195.58 = 364.52 : x
  2. Step 2: Convert to fraction form
    797.87/1,195.58 = 364.52/x
  3. Step 3: Cross multiply
    797.87x = 1,195.58 × 364.52
  4. Step 4: Simplify right side
    797.87x = 435,807.75
  5. Step 5: Solve for x
    x = 435,807.75/797.87
  6. Step 6: Final answer
    x = 546.22

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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.