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Finding the Fourth Proportional to 1,391.30, 2,086.82 and 365.30

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Solution

The fourth proportional to 1,391.30, 2,086.82 and 365.30 is: 547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.30 : 2,086.82 = 365.30 : x
  2. Step 2: Convert to fraction form
    1,391.30/2,086.82 = 365.30/x
  3. Step 3: Cross multiply
    1,391.30x = 2,086.82 × 365.30
  4. Step 4: Simplify right side
    1,391.30x = 762,313.52
  5. Step 5: Solve for x
    x = 762,313.52/1,391.30
  6. Step 6: Final answer
    x = 547.91

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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.