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Finding the Fourth Proportional to 797.36, 1,196.48 and 432.12

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Solution

The fourth proportional to 797.36, 1,196.48 and 432.12 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.36 : 1,196.48 = 432.12 : x
  2. Step 2: Convert to fraction form
    797.36/1,196.48 = 432.12/x
  3. Step 3: Cross multiply
    797.36x = 1,196.48 × 432.12
  4. Step 4: Simplify right side
    797.36x = 517,022.94
  5. Step 5: Solve for x
    x = 517,022.94/797.36
  6. Step 6: Final answer
    x = 648.42

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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.