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Finding the Fourth Proportional to 1,189.31, 1,784.25 and 367.56

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Solution

The fourth proportional to 1,189.31, 1,784.25 and 367.56 is: 551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.31 : 1,784.25 = 367.56 : x
  2. Step 2: Convert to fraction form
    1,189.31/1,784.25 = 367.56/x
  3. Step 3: Cross multiply
    1,189.31x = 1,784.25 × 367.56
  4. Step 4: Simplify right side
    1,189.31x = 655,818.93
  5. Step 5: Solve for x
    x = 655,818.93/1,189.31
  6. Step 6: Final answer
    x = 551.43

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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.