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Finding the Fourth Proportional to 1,189.07, 1,783.64 and 367.36

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Solution

The fourth proportional to 1,189.07, 1,783.64 and 367.36 is: 551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.07 : 1,783.64 = 367.36 : x
  2. Step 2: Convert to fraction form
    1,189.07/1,783.64 = 367.36/x
  3. Step 3: Cross multiply
    1,189.07x = 1,783.64 × 367.36
  4. Step 4: Simplify right side
    1,189.07x = 655,234.45
  5. Step 5: Solve for x
    x = 655,234.45/1,189.07
  6. Step 6: Final answer
    x = 551.05

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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.