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Finding the Fourth Proportional to 797.58, 1,196.57 and 407.43

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Solution

The fourth proportional to 797.58, 1,196.57 and 407.43 is: 611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.58 : 1,196.57 = 407.43 : x
  2. Step 2: Convert to fraction form
    797.58/1,196.57 = 407.43/x
  3. Step 3: Cross multiply
    797.58x = 1,196.57 × 407.43
  4. Step 4: Simplify right side
    797.58x = 487,519.53
  5. Step 5: Solve for x
    x = 487,519.53/797.58
  6. Step 6: Final answer
    x = 611.25

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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.