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Finding the Fourth Proportional to 1,191.01, 1,786.74 and 541.75

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Solution

The fourth proportional to 1,191.01, 1,786.74 and 541.75 is: 812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.01 : 1,786.74 = 541.75 : x
  2. Step 2: Convert to fraction form
    1,191.01/1,786.74 = 541.75/x
  3. Step 3: Cross multiply
    1,191.01x = 1,786.74 × 541.75
  4. Step 4: Simplify right side
    1,191.01x = 967,966.40
  5. Step 5: Solve for x
    x = 967,966.40/1,191.01
  6. Step 6: Final answer
    x = 812.73

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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.