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Finding the Fourth Proportional to 1,191.26, 1,786.59 and 421.76

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Solution

The fourth proportional to 1,191.26, 1,786.59 and 421.76 is: 632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.26 : 1,786.59 = 421.76 : x
  2. Step 2: Convert to fraction form
    1,191.26/1,786.59 = 421.76/x
  3. Step 3: Cross multiply
    1,191.26x = 1,786.59 × 421.76
  4. Step 4: Simplify right side
    1,191.26x = 753,512.20
  5. Step 5: Solve for x
    x = 753,512.20/1,191.26
  6. Step 6: Final answer
    x = 632.53

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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.