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Finding the Fourth Proportional to 797.68, 1,194.96 and 632.22

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Solution

The fourth proportional to 797.68, 1,194.96 and 632.22 is: 947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.68 : 1,194.96 = 632.22 : x
  2. Step 2: Convert to fraction form
    797.68/1,194.96 = 632.22/x
  3. Step 3: Cross multiply
    797.68x = 1,194.96 × 632.22
  4. Step 4: Simplify right side
    797.68x = 755,477.61
  5. Step 5: Solve for x
    x = 755,477.61/797.68
  6. Step 6: Final answer
    x = 947.09

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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.