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Finding the Fourth Proportional to 774.42, 1,161.65 and 664.05

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Solution

The fourth proportional to 774.42, 1,161.65 and 664.05 is: 996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.42 : 1,161.65 = 664.05 : x
  2. Step 2: Convert to fraction form
    774.42/1,161.65 = 664.05/x
  3. Step 3: Cross multiply
    774.42x = 1,161.65 × 664.05
  4. Step 4: Simplify right side
    774.42x = 771,387.87
  5. Step 5: Solve for x
    x = 771,387.87/774.42
  6. Step 6: Final answer
    x = 996.08

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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.