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Finding the Fourth Proportional to 1,186.99, 1,780.66 and 365.33

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Solution

The fourth proportional to 1,186.99, 1,780.66 and 365.33 is: 548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.99 : 1,780.66 = 365.33 : x
  2. Step 2: Convert to fraction form
    1,186.99/1,780.66 = 365.33/x
  3. Step 3: Cross multiply
    1,186.99x = 1,780.66 × 365.33
  4. Step 4: Simplify right side
    1,186.99x = 650,531.37
  5. Step 5: Solve for x
    x = 650,531.37/1,186.99
  6. Step 6: Final answer
    x = 548.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.