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Finding the Fourth Proportional to 1,191.98, 1,788.05 and 370.27

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Solution

The fourth proportional to 1,191.98, 1,788.05 and 370.27 is: 555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.98 : 1,788.05 = 370.27 : x
  2. Step 2: Convert to fraction form
    1,191.98/1,788.05 = 370.27/x
  3. Step 3: Cross multiply
    1,191.98x = 1,788.05 × 370.27
  4. Step 4: Simplify right side
    1,191.98x = 662,061.27
  5. Step 5: Solve for x
    x = 662,061.27/1,191.98
  6. Step 6: Final answer
    x = 555.43

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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.