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Finding the Fourth Proportional to 774.19, 1,161.35 and 197.06

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Solution

The fourth proportional to 774.19, 1,161.35 and 197.06 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.19 : 1,161.35 = 197.06 : x
  2. Step 2: Convert to fraction form
    774.19/1,161.35 = 197.06/x
  3. Step 3: Cross multiply
    774.19x = 1,161.35 × 197.06
  4. Step 4: Simplify right side
    774.19x = 228,858.29
  5. Step 5: Solve for x
    x = 228,858.29/774.19
  6. Step 6: Final answer
    x = 295.61

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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.