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Finding the Fourth Proportional to 1,191.12, 1,786.83 and 461.34

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Solution

The fourth proportional to 1,191.12, 1,786.83 and 461.34 is: 692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.12 : 1,786.83 = 461.34 : x
  2. Step 2: Convert to fraction form
    1,191.12/1,786.83 = 461.34/x
  3. Step 3: Cross multiply
    1,191.12x = 1,786.83 × 461.34
  4. Step 4: Simplify right side
    1,191.12x = 824,336.15
  5. Step 5: Solve for x
    x = 824,336.15/1,191.12
  6. Step 6: Final answer
    x = 692.07

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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.