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Finding the Fourth Proportional to 1,187.43, 1,780.98 and 365.48

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Solution

The fourth proportional to 1,187.43, 1,780.98 and 365.48 is: 548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.43 : 1,780.98 = 365.48 : x
  2. Step 2: Convert to fraction form
    1,187.43/1,780.98 = 365.48/x
  3. Step 3: Cross multiply
    1,187.43x = 1,780.98 × 365.48
  4. Step 4: Simplify right side
    1,187.43x = 650,912.57
  5. Step 5: Solve for x
    x = 650,912.57/1,187.43
  6. Step 6: Final answer
    x = 548.17

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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.